QCD running couplings and effective charges

Deur, Alexandre; Brodsky, Stanley J.; Roberts, Craig D.

doi:10.1016/j.ppnp.2023.104081

This content will become publicly available on Thu Oct 10 00:00:00 EDT 2024

Title: QCD running couplings and effective charges

Abstract

Here we discuss our present knowledge of $$\alpha_s$$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $$\alpha_s(Q^2) $$ at high momentum transfer, $$Q$$, is necessary for any perturbative QCD calculation. Equally important, the behavior of $$\alpha_s$$} at low $Q^2$ in the nonperturbative QCD domain is critical for understanding strong interaction phenomena, including the emergence of mass and quark confinement. The behavior of $$\alpha_s(Q^2)$$ at all momentum transfers also provides a connection between perturbative and nonperturbative QCD phenomena, such as hadron spectroscopy and dynamics. We first sketch the origin of the QCD coupling, the reason why its magnitude depends on the scale at which hadronic phenomena are probed, and the resulting consequences for QCD phenomenology. We then summarize latest measurements in both the perturbative and nonperturbative domains. New theory developments include the derivation of the universal nonperturbative behavior of $$\alpha_s(Q^2)$$ from both the Dyson-Schwinger equations and light-front holography. We also describe theory advances for the calculation of gluon and quark Schwinger functions in the nonperturbative domain and the relation of these quantities to $$\alpha_s$$. We conclude by highlighting how the nonperturbative knowledge of $$\alpha_s$$ is now providing a parameter-free determination of hadron spectroscopy and structure, a central and long-sought goal of QCD studies.

Authors:

^[1];

^[2]; Roberts, Craig D. ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Nanjing Univ. (China)

Publication Date:: Tue Oct 10 00:00:00 EDT 2023

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); USDOE Office of Nuclear Energy (NE)

OSTI Identifier:: 2281722

Alternate Identifier(s):: OSTI ID: 2224135

Report Number(s):: JLAB-PHY-23-3791; DOE/OR/23177-6092
Journal ID: ISSN 0146-6410; 12135007

Grant/Contract Number:: AC05-06OR23177; AC02-76SF00515; 12135007

Resource Type:: Accepted Manuscript

Journal Name:: Progress in Particle and Nuclear Physics

Additional Journal Information:: Journal Volume: 134; Journal ID: ISSN 0146-6410

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; QCD; perturbative QCD; coupling constant; renormalization group; nonperturbative QCD; effective changes

Citation Formats


                    Deur, Alexandre, Brodsky, Stanley J., and Roberts, Craig D. QCD running couplings and effective charges.  United States: N. p., 2023. 
Web.  doi:10.1016/j.ppnp.2023.104081.

Copy to clipboard


                    Deur, Alexandre, Brodsky, Stanley J., & Roberts, Craig D. QCD running couplings and effective charges.  United States.  https://doi.org/10.1016/j.ppnp.2023.104081

Copy to clipboard


                    Deur, Alexandre, Brodsky, Stanley J., and Roberts, Craig D. Tue .  
"QCD running couplings and effective charges".  United States.  https://doi.org/10.1016/j.ppnp.2023.104081.

Copy to clipboard


                    
@article{osti_2281722,

  title        = {QCD running couplings and effective charges},

  author       = {Deur, Alexandre and Brodsky, Stanley J. and Roberts, Craig D.},

  abstractNote = {Here we discuss our present knowledge of $\alpha_s$, the fundamental running coupling or effective charge of Quantum Chromodynamics (QCD). A precise understanding of the running of $\alpha_s(Q^2) $ at high momentum transfer, $Q$, is necessary for any perturbative QCD calculation. Equally important, the behavior of $\alpha_s$} at low $Q^2$ in the nonperturbative QCD domain is critical for understanding strong interaction phenomena, including the emergence of mass and quark confinement. The behavior of $\alpha_s(Q^2)$ at all momentum transfers also provides a connection between perturbative and nonperturbative QCD phenomena, such as hadron spectroscopy and dynamics. We first sketch the origin of the QCD coupling, the reason why its magnitude depends on the scale at which hadronic phenomena are probed, and the resulting consequences for QCD phenomenology. We then summarize latest measurements in both the perturbative and nonperturbative domains. New theory developments include the derivation of the universal nonperturbative behavior of $\alpha_s(Q^2)$ from both the Dyson-Schwinger equations and light-front holography. We also describe theory advances for the calculation of gluon and quark Schwinger functions in the nonperturbative domain and the relation of these quantities to $\alpha_s$. We conclude by highlighting how the nonperturbative knowledge of $\alpha_s$ is now providing a parameter-free determination of hadron spectroscopy and structure, a central and long-sought goal of QCD studies.},

  doi          = {10.1016/j.ppnp.2023.104081},

  journal      = {Progress in Particle and Nuclear Physics},

  number       = ,

  volume       = 134,

  place        = {United States},

  year         = {Tue Oct 10 00:00:00 EDT 2023},

  month        = {Tue Oct 10 00:00:00 EDT 2023}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

This content will become publicly available on October 10, 2024

Publisher's Version of Record

https://doi.org/10.1016/j.ppnp.2023.104081

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

On the zero crossing of the three-gluon vertex
journal, October 2016

Athenodorou, A.; Binosi, D.; Boucaud, Ph.
Physics Letters B, Vol. 761
DOI: 10.1016/j.physletb.2016.08.065

Static Quark-Antiquark Potential in QCD to Three Loops
journal, January 1997

Peter, Markus
Physical Review Letters, Vol. 78, Issue 4
DOI: 10.1103/PhysRevLett.78.602

Nonperturbative study of the four gluon vertex
journal, September 2014

Binosi, D.; Ibañez, D.; Papavassiliou, J.
Journal of High Energy Physics, Vol. 2014, Issue 9
DOI: 10.1007/JHEP09(2014)059

The Infrared Behaviour of the Pure Yang–Mills Green Functions
journal, January 2012

Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, A.
Few-Body Systems, Vol. 53, Issue 3-4
DOI: 10.1007/s00601-011-0301-2

QCD analysis of the tau hadronic width
journal, April 1992

Braaten, E.; Narison, S.; Pich, A.
Nuclear Physics B, Vol. 373, Issue 3
DOI: 10.1016/0550-3213(92)90267-F

Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory
journal, July 2021

Bednyakov, Alexander; Pikelner, Andrey
Physical Review Letters, Vol. 127, Issue 4
DOI: 10.1103/PhysRevLett.127.041801

Properties of Regge trajectories
journal, June 2000

Tang, Alfred; Norbury, John W.
Physical Review D, Vol. 62, Issue 1
DOI: 10.1103/PhysRevD.62.016006

Spectrum of Charmed Quark-Antiquark Bound States
journal, February 1975

Eichten, E.; Gottfried, K.; Kinoshita, T.
Physical Review Letters, Vol. 34, Issue 6
DOI: 10.1103/PhysRevLett.34.369

Conformal invariance in quantum mechanics
journal, August 1976

de Alfaro, V.; Fubini, S.; Furlan, G.
Il Nuovo Cimento A, Vol. 34, Issue 4
DOI: 10.1007/BF02785666

Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD
journal, May 2003

Zwanziger, Daniel
Physical Review D, Vol. 67, Issue 10
DOI: 10.1103/PhysRevD.67.105001

Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus
journal, December 1983

Novikov, V. A.; Shifman, M. A.; Vainshtein, A. I.
Nuclear Physics B, Vol. 229, Issue 2
DOI: 10.1016/0550-3213(83)90338-3

Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations
journal, January 2014

Brodsky, Stanley J.; Mojaza, Matin; Wu, Xing-Gang
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.014027

Impressions of the Continuum Bound State Problem in QCD
journal, December 2020

Qin, Si-Xue; Roberts, C. D.
Chinese Physics Letters, Vol. 37, Issue 12
DOI: 10.1088/0256-307X/37/12/121201

Charmonium: The model
journal, June 1978

Eichten, E.; Gottfried, K.; Kinoshita, T.
Physical Review D, Vol. 17, Issue 11
DOI: 10.1103/PhysRevD.17.3090

Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior
journal, November 1971

Wilson, Kenneth G.
Physical Review B, Vol. 4, Issue 9
DOI: 10.1103/PhysRevB.4.3184

Gluon condensates and effective gluon mass
journal, August 2022

Horak, Jan; Ihssen, Friederike; Papavassiliou, Joannis
SciPost Physics, Vol. 13, Issue 2
DOI: 10.21468/SciPostPhys.13.2.042

Detailed analysis of the three-quark potential in SU(3) lattice QCD
journal, June 2002

Takahashi, T. T.; Suganuma, H.; Nemoto, Y.
Physical Review D, Vol. 65, Issue 11
DOI: 10.1103/PhysRevD.65.114509

Universality of Generalized Parton Distributions in Light-Front Holographic QCD
journal, May 2018

de Téramond, Guy F.; Liu, Tianbo; Sufian, Raza Sabbir
Physical Review Letters, Vol. 120, Issue 18
DOI: 10.1103/PhysRevLett.120.182001

Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
journal, July 2008

Kellermann, Christian; Fischer, Christian S.
Physical Review D, Vol. 78, Issue 2
DOI: 10.1103/PhysRevD.78.025015

Static QCD potential in coordinate space with quark masses through two loops
journal, September 2000

Melles, Michael
Physical Review D, Vol. 62, Issue 7
DOI: 10.1103/PhysRevD.62.074019

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Maldacena, Juan
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
DOI: 10.4310/ATMP.1998.v2.n2.a1

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970

Bloom, E. D.; Gilman, F. J.
Physical Review Letters, Vol. 25, Issue 16
DOI: 10.1103/PhysRevLett.25.1140

Determination of the effective strong coupling constant <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>α</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>g</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> from CLAS spin structure function data
journal, July 2008

Deur, A.; Burkert, V.; Chen, J. P.
Physics Letters B, Vol. 665, Issue 5
DOI: 10.1016/j.physletb.2008.06.049

Precision physics with inclusive QCD processes
journal, March 2021

Pich, Antonio
Progress in Particle and Nuclear Physics, Vol. 117
DOI: 10.1016/j.ppnp.2020.103846

Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

Bernard, V.; Kaiser, N.; MeißNer, Ulf-G.
International Journal of Modern Physics E, Vol. 04, Issue 02
DOI: 10.1142/S0218301395000092

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013

Chang, Lei; Cloët, I. C.; Cobos-Martinez, J. J.
Physical Review Letters, Vol. 110, Issue 13
DOI: 10.1103/PhysRevLett.110.132001

High-Precision Lattice QCD Confronts Experiment
journal, January 2004

Davies, C. T. H.; Follana, E.; Gray, A.
Physical Review Letters, Vol. 92, Issue 2
DOI: 10.1103/PhysRevLett.92.022001

Parton distributions of light quarks and antiquarks in the proton
journal, June 2022

Chang, Lei; Gao, Fei; Roberts, Craig D.
Physics Letters B, Vol. 829
DOI: 10.1016/j.physletb.2022.137078

Renormalization flow of bound states
journal, February 2002

Gies, Holger; Wetterich, Christof
Physical Review D, Vol. 65, Issue 6
DOI: 10.1103/PhysRevD.65.065001

High precision determination of αs from a global fit of jet rates
journal, August 2019

Verbytskyi, Andrii; Banfi, Andrea; Kardos, Adam
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/JHEP08(2019)129

Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
journal, January 2002

Lee, Nam-Young; Goeke, K.; Weiss, C.
Physical Review D, Vol. 65, Issue 5
DOI: 10.1103/PhysRevD.65.054008

Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
journal, November 1997

von Smekal, Lorenz; Hauck, Andreas; Alkofer, Reinhard
Physical Review Letters, Vol. 79, Issue 19
DOI: 10.1103/PhysRevLett.79.3591

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
journal, November 1971

Wilson, Kenneth G.
Physical Review B, Vol. 4, Issue 9
DOI: 10.1103/PhysRevB.4.3174

Quark-antiquark potential in QCD
journal, October 1977

Fischler, W.
Nuclear Physics B, Vol. 129, Issue 1
DOI: 10.1016/0550-3213(77)90026-8

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations
journal, December 2015

Abramowicz, H.; Abt, I.; Adamczyk, L.
The European Physical Journal C, Vol. 75, Issue 12
DOI: 10.1140/epjc/s10052-015-3710-4

Baryons as relativistic three-quark bound states
journal, November 2016

Eichmann, Gernot; Sanchis-Alepuz, Hèlios; Williams, Richard
Progress in Particle and Nuclear Physics, Vol. 91
DOI: 10.1016/j.ppnp.2016.07.001

Dynamical fermions, centre vortices, and emergent phenomena
journal, January 2022

Leinweber, Derek; Biddle, James; Kamleh, Waseem
EPJ Web of Conferences, Vol. 274
DOI: 10.1051/epjconf/202227401002

Fermion interactions and universal behavior in strongly interacting theories
journal, January 2012

Braun, Jens
Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 3
DOI: 10.1088/0954-3899/39/3/033001

Deep inelastic electron scattering in perturbation theory
journal, November 1971

Gribov, V. N.; Lipatov, L. N.
Physics Letters B, Vol. 37, Issue 1
DOI: 10.1016/0370-2693(71)90576-4

On the difference between FOPT and CIPT for hadronic tau decays
journal, September 2021

Hoang, André H.; Regner, Christoph
The European Physical Journal Special Topics, Vol. 230, Issue 12-13
DOI: 10.1140/epjs/s11734-021-00257-z

Determination of the neutron spin structure function
journal, August 1993

Anthony, P. L.; Arnold, R. G.; Band, H. R.
Physical Review Letters, Vol. 71, Issue 7
DOI: 10.1103/PhysRevLett.71.959

Quantization of non-Abelian gauge theories
journal, June 1978

Gribov, V. N.
Nuclear Physics B, Vol. 139, Issue 1-2
DOI: 10.1016/0550-3213(78)90175-X

Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects
journal, July 2016

Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J.
Physical Review D, Vol. 94, Issue 1
DOI: 10.1103/PhysRevD.94.014502

IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
journal, June 2008

Boucaud, Ph; Leroy, J. P.; Yaouanc, A. Le
Journal of High Energy Physics, Vol. 2008, Issue 06
DOI: 10.1088/1126-6708/2008/06/012

Goldstone theorem and diquark confinement beyond rainbow-ladder approximation
journal, July 1996

Bender, A.; Roberts, C. D.; Smekal, L. v.
Physics Letters B, Vol. 380, Issue 1-2
DOI: 10.1016/0370-2693(96)00372-3

On the generalized ward identity
journal, August 1957

Takahashi, Y.
Il Nuovo Cimento, Vol. 6, Issue 2
DOI: 10.1007/BF02832514

Ghost-gluon running coupling, power corrections, and the determination of $Λ_{\bar{MS}}$
journal, January 2009

Boucaud, Ph.; De Soto, F.; Leroy, J. P.
Physical Review D, Vol. 79, Issue 1
DOI: 10.1103/PhysRevD.79.014508

Computation of the strong coupling in QCD with two dynamical flavors
journal, May 2005

Della Morte, M.; Frezzotti, R.; Heitger, J.
Nuclear Physics B, Vol. 713, Issue 1-3
DOI: 10.1016/j.nuclphysb.2005.02.013

Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering
journal, January 1969

Mo, L. W.; Tsai, Y. S.
Reviews of Modern Physics, Vol. 41, Issue 1
DOI: 10.1103/RevModPhys.41.205

The strong coupling constant at small momentum as an instanton detector
journal, April 2003

Boucaud, Philippe; Yaouanc, Alain Le; Leroy, Jean Pierre
Journal of High Energy Physics, Vol. 2003, Issue 04
DOI: 10.1088/1126-6708/2003/04/005

Price of Asymptotic Freedom
journal, September 1973

Coleman, Sidney; Gross, David J.
Physical Review Letters, Vol. 31, Issue 13
DOI: 10.1103/PhysRevLett.31.851

QCD forces and heavy quark bound states
journal, March 2001

Bali, Gunnar S.
Physics Reports, Vol. 343, Issue 1-2
DOI: 10.1016/S0370-1573(00)00079-X

Unified description of seagull cancellations and infrared finiteness of gluon propagators
journal, August 2016

Aguilar, A. C.; Binosi, D.; Figueiredo, C. T.
Physical Review D, Vol. 94, Issue 4
DOI: 10.1103/PhysRevD.94.045002

Determination of α from static QCD potential with renormalon subtraction
journal, February 2019

Takaura, H.; Kaneko, T.; Kiyo, Y.
Physics Letters B, Vol. 789
DOI: 10.1016/j.physletb.2018.12.060

Version 3 of RunDec and CRunDec
journal, March 2018

Herren, Florian; Steinhauser, Matthias
Computer Physics Communications, Vol. 224
DOI: 10.1016/j.cpc.2017.11.014

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory
journal, December 2005

Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, A.
Physical Review D, Vol. 72, Issue 11
DOI: 10.1103/PhysRevD.72.114503

Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
journal, July 2018

Nakayama, Katsumasa; Fukaya, Hidenori; Hashimoto, Shoji
Physical Review D, Vol. 98, Issue 1
DOI: 10.1103/PhysRevD.98.014501

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography
journal, July 2016

Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
International Journal of Modern Physics A, Vol. 31, Issue 19
DOI: 10.1142/S0217751X16300295

The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality
journal, September 2019

Wu, Xing-Gang; Shen, Jian-Ming; Du, Bo-Lun
Progress in Particle and Nuclear Physics, Vol. 108
DOI: 10.1016/j.ppnp.2019.05.003

Determination of the QCD $Λ$ Parameter and the Accuracy of Perturbation Theory at High Energies
journal, October 2016

Dalla Brida, Mattia; Fritzsch, Patrick; Korzec, Tomasz
Physical Review Letters, Vol. 117, Issue 18
DOI: 10.1103/PhysRevLett.117.182001

Emergent Hadron Mass in Strong Dynamics
journal, April 2022

Binosi, Daniele
Few-Body Systems, Vol. 63, Issue 2
DOI: 10.1007/s00601-022-01740-6

Concerning pion parton distributions
journal, January 2022

Cui, Z. -F.; Ding, M.; Morgado, J. M.
The European Physical Journal A, Vol. 58, Issue 1
DOI: 10.1140/epja/s10050-021-00658-7

A precise determination of αS from lattice QCD
journal, February 1995

Davies, C. T. H.; Hornbostel, K.; Lepage, G. P.
Physics Letters B, Vol. 345, Issue 1
DOI: 10.1016/0370-2693(94)01598-7

Spin Sum Rules and the Strong Coupling Constant at large distance
conference, January 2009

Deur, A.; Chen, Jian-Ping; Slifer, Karl
SPIN STRUCTURE AT LONG DISTANCE: Workshop Proceedings, AIP Conference Proceedings
DOI: 10.1063/1.3203292

Slavnov-Taylor identities in Weinberg's renormalization scheme
journal, November 1980

Pascual, P.; Tarrach, R.
Nuclear Physics B, Vol. 174, Issue 1
DOI: 10.1016/0550-3213(80)90193-5

Quadratic mass corrections of order to the decay rate of Z- and W-bosons
journal, July 1997

Chetyrkin, K. G.; Kühn, J. H.
Physics Letters B, Vol. 406, Issue 1-2
DOI: 10.1016/S0370-2693(97)00631-X

Gluon Green functions free of quantum fluctuations
journal, September 2016

Athenodorou, A.; Boucaud, Ph.; De Soto, F.
Physics Letters B, Vol. 760
DOI: 10.1016/j.physletb.2016.07.007

Massive Yang-Mills model and diffractive scattering
journal, February 1999

Forshaw, J. R.; Papavassiliou, J.; Parrinello, C.
Physical Review D, Vol. 59, Issue 7
DOI: 10.1103/PhysRevD.59.074008

Observing long color flux tubes in SU(2) lattice gauge theory
journal, May 1995

Bali, Gunnar S.; Schlichter, Christoph; Schilling, Klaus
Physical Review D, Vol. 51, Issue 9
DOI: 10.1103/PhysRevD.51.5165

The spin structure of the nucleon
journal, June 2019

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
Reports on Progress in Physics, Vol. 82, Issue 7
DOI: 10.1088/1361-6633/ab0b8f

Muon $g - 2$ and $α (M_{Z}^{2})$ : A new data-based analysis
journal, June 2018

Keshavarzi, Alexander; Nomura, Daisuke; Teubner, Thomas
Physical Review D, Vol. 97, Issue 11
DOI: 10.1103/PhysRevD.97.114025

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961

Nambu, Y.; Jona-Lasinio, G.
Physical Review, Vol. 122, Issue 1
DOI: 10.1103/PhysRev.122.345

QCD sum rule calculation of twist-3 contributions to polarized nucleon structure functions
journal, January 1995

Stein, E.; Górnicki, P.; Mankiewicz, L.
Physics Letters B, Vol. 343, Issue 1-4
DOI: 10.1016/0370-2693(94)01443-G

Drawing insights from pion parton distributions
journal, March 2020

Ding, Minghui; Raya, Khépani; Binosi, Daniele
Chinese Physics C, Vol. 44, Issue 3
DOI: 10.1088/1674-1137/44/3/031002

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes
journal, June 2017

Boucaud, Ph.; De Soto, F.; Rodríguez-Quintero, J.
Physical Review D, Vol. 95, Issue 11
DOI: 10.1103/PhysRevD.95.114503

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

Accardi, A.; Albacete, J. L.; Anselmino, M.
The European Physical Journal A, Vol. 52, Issue 9
DOI: 10.1140/epja/i2016-16268-9

High precision determination of the gluon fusion Higgs boson cross-section at the LHC
journal, May 2016

Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko
Journal of High Energy Physics, Vol. 2016, Issue 5
DOI: 10.1007/JHEP05(2016)058

Measurement of the proton spin structure function g1p with a pure hydrogen target
journal, December 1998

Airapetian, A.; Akopov, N.; Akushevich, I.
Physics Letters B, Vol. 442, Issue 1-4
DOI: 10.1016/S0370-2693(98)01341-0

Inelastic Scattering of Polarized Leptons from Polarized Nucleons
journal, March 1970

Bjorken, J. D.
Physical Review D, Vol. 1, Issue 5
DOI: 10.1103/PhysRevD.1.1376

Divergence of Perturbation Theory in Quantum Electrodynamics
journal, February 1952

Dyson, F. J.
Physical Review, Vol. 85, Issue 4
DOI: 10.1103/PhysRev.85.631

The Large Hadron–Electron Collider at the HL-LHC
journal, November 2021

Agostini, P.; Aksakal, H.; Alekhin, S.
Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 11
DOI: 10.1088/1361-6471/abf3ba

Efficient calculation of one-loop QCD amplitudes
journal, April 1991

Bern, Zvi; Kosower, David A.
Physical Review Letters, Vol. 66, Issue 13
DOI: 10.1103/PhysRevLett.66.1669

An improved measuremebts of αS (MZ0) using energy correlations with the OPAL detector at LEP
journal, February 1992

Acton, P. D.; Alexander, G.; Allison, J.
Physics Letters B, Vol. 276, Issue 4
DOI: 10.1016/0370-2693(92)91681-X

From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD
journal, August 2016

Braun, Jens; Fister, Leonard; Pawlowski, Jan M.
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034016

Lattice study of the vacuum polarization function and determination of the strong coupling constant
journal, April 2009

Shintani, E.; Aoki, S.; Chiu, T. W.
Physical Review D, Vol. 79, Issue 7
DOI: 10.1103/PhysRevD.79.074510

Constraints on large- $x$ parton distributions from new weak boson production and deep-inelastic scattering data
journal, June 2016

Accardi, A.; Brady, L. T.; Melnitchouk, W.
Physical Review D, Vol. 93, Issue 11
DOI: 10.1103/PhysRevD.93.114017

New analyses of event shape observables in electron-positron annihilation and the determination of αs running behavior in perturbative domain
journal, September 2022

Wang, Sheng-Quan; Luo, Chao-Qin; Wu, Xing-Gang
Journal of High Energy Physics, Vol. 2022, Issue 9
DOI: 10.1007/JHEP09(2022)137

Space-Time Approach to Non-Relativistic Quantum Mechanics
journal, April 1948

Feynman, R. P.
Reviews of Modern Physics, Vol. 20, Issue 2
DOI: 10.1103/RevModPhys.20.367

The static potential in QCD to two loops
journal, February 1999

Schröder, York
Physics Letters B, Vol. 447, Issue 3-4
DOI: 10.1016/S0370-2693(99)00010-6

Locating the Gribov horizon
journal, February 2018

Gao, Fei; Qin, Si-Xue; Roberts, Craig D.
Physical Review D, Vol. 97, Issue 3
DOI: 10.1103/PhysRevD.97.034010

The four-loop β-function in quantum chromodynamics
journal, May 1997

van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A.
Physics Letters B, Vol. 400, Issue 3-4
DOI: 10.1016/S0370-2693(97)00370-5

Two-loop QCD vertices and three-loop MOM β functions
journal, December 2000

Chetyrkin, K. G.; Seidensticker, T.
Physics Letters B, Vol. 495, Issue 1-2
DOI: 10.1016/S0370-2693(00)01217-X

Generalized pinch technique and the background field method in general gauges
journal, March 1997

Pilaftsis, Apostolos
Nuclear Physics B, Vol. 487, Issue 1-2
DOI: 10.1016/S0550-3213(96)00686-4

Non-perturbative quark mass renormalization in quenched lattice QCD
journal, April 1999

Capitani, Stefano; Lüscher, Martin; Sommer, Rainer
Nuclear Physics B, Vol. 544, Issue 3
DOI: 10.1016/S0550-3213(98)00857-8

Is There a Landau Pole Problem in QED?
journal, May 1998

Göckeler, M.; Horsley, R.; Linke, V.
Physical Review Letters, Vol. 80, Issue 19
DOI: 10.1103/PhysRevLett.80.4119

Event shapes in e ⁺ e annihilation and deep inelastic scattering
journal, February 2004

Dasgupta, Mrinal; Salam, Gavin P.
Journal of Physics G: Nuclear and Particle Physics, Vol. 30, Issue 5
DOI: 10.1088/0954-3899/30/5/R01

How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
journal, July 2017

Reinosa, U.; Serreau, J.; Tissier, M.
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.014005

pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
journal, January 2021

Contreras, Carlos; Cvetič, Gorazd; Orellana, Oscar
Journal of Physics Communications, Vol. 5, Issue 1
DOI: 10.1088/2399-6528/abdddc

Next-to-leading order QCD analysis of polarized deep inelastic scattering data
journal, July 1997

Abe, K.; Akagi, T.; Anderson, B. D.
Physics Letters B, Vol. 405, Issue 1-2
DOI: 10.1016/S0370-2693(97)00641-2

Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
journal, July 1974

Caswell, William E.
Physical Review Letters, Vol. 33, Issue 4
DOI: 10.1103/PhysRevLett.33.244

Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973

Gross, David J.; Wilczek, Frank
Physical Review Letters, Vol. 30, Issue 26
DOI: 10.1103/PhysRevLett.30.1343

Renormalization-prescription dependence of the quantum-chromodynamic coupling constant
journal, September 1979

Celmaster, William; Gonsalves, Richard J.
Physical Review D, Vol. 20, Issue 6
DOI: 10.1103/PhysRevD.20.1420

Reliable Perturbative Results for Strong Interactions?
journal, June 1973

Politzer, H. David
Physical Review Letters, Vol. 30, Issue 26
DOI: 10.1103/PhysRevLett.30.1346

Why $$\alpha _s$$ cannot be determined from hadronic processes without simultaneously determining the parton distributions
journal, February 2020

Forte, Stefano; Kassabov, Zahari
The European Physical Journal C, Vol. 80, Issue 3
DOI: 10.1140/epjc/s10052-020-7748-6

Selected Science Opportunities for the EicC
journal, October 2020

Chen, Xurong; Guo, Feng-Kun; Roberts, Craig D.
Few-Body Systems, Vol. 61, Issue 4
DOI: 10.1007/s00601-020-01574-0

Three-gluon vertex in Landau gauge
journal, May 2014

Eichmann, Gernot; Williams, Richard; Alkofer, Reinhard
Physical Review D, Vol. 89, Issue 10
DOI: 10.1103/PhysRevD.89.105014

Infrared behavior of non-Abelian gauge theories
journal, June 1976

Cornwall, John M.; Tiktopoulos, George
Physical Review D, Vol. 13, Issue 12
DOI: 10.1103/PhysRevD.13.3370

High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD
journal, September 2008

Allison, I.; Dalgic, E.; Davies, C. T. H.
Physical Review D, Vol. 78, Issue 5
DOI: 10.1103/PhysRevD.78.054513

QCD β -function on the string worldsheet
journal, December 2018

Dubovsky, Sergei
Physical Review D, Vol. 98, Issue 11
DOI: 10.1103/PhysRevD.98.114025

Introduction to the Functional RG and Applications to Gauge Theories
book, January 2012

Gies, Holger
Renormalization Group and Effective Field Theory Approaches to Many-Body Systems
DOI: 10.1007/978-3-642-27320-9_6

Valence Quark Ratio in the Proton
journal, April 2022

Cui, Zhu-Fang; Gao, Fei; Binosi, Daniele
Chinese Physics Letters, Vol. 39, Issue 4
DOI: 10.1088/0256-307X/39/4/041401

Ghost-gluon vertex in the presence of the Gribov horizon
journal, February 2018

Mintz, B. W.; Palhares, L. F.; Sorella, S. P.
Physical Review D, Vol. 97, Issue 3
DOI: 10.1103/PhysRevD.97.034020

Parton distribution functions, $α_{s}$ , and heavy-quark masses for LHC Run II
journal, July 2017

Alekhin, S.; Blümlein, J.; Moch, S.
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.014011

Calculation of the nonperturbative strong coupling from first principles
journal, October 2019

Siringo, Fabio
Physical Review D, Vol. 100, Issue 7
DOI: 10.1103/PhysRevD.100.074014

Precise QCD Predictions for the Production of Dijet Final States in Deep Inelastic Scattering
journal, July 2016

Currie, James; Gehrmann, Thomas; Niehues, Jan
Physical Review Letters, Vol. 117, Issue 4
DOI: 10.1103/PhysRevLett.117.042001

Influence of Gribov ambiguities in a class of nonlinear covariant gauges
journal, November 2015

Serreau, J.; Tissier, M.; Tresmontant, A.
Physical Review D, Vol. 92, Issue 10
DOI: 10.1103/PhysRevD.92.105003

Revealing pion and kaon structure via generalised parton distributions *
journal, January 2022

Raya, K.; Cui, Z. -F.; Chang, L.
Chinese Physics C, Vol. 46, Issue 1
DOI: 10.1088/1674-1137/ac3071

The spin-dependent structure function of the proton <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>g</mml:mi><mml:mn>1</mml:mn><mml:mi>p</mml:mi></mml:msubsup></mml:math> and a test of the Bjorken sum rule
journal, July 2010

Alekseev, M. G.; Alexakhin, V. Yu.; Alexandrov, Yu.
Physics Letters B, Vol. 690, Issue 5
DOI: 10.1016/j.physletb.2010.05.069

Nonperturbative comparison of QCD effective charges
journal, October 2009

Aguilar, A. C.; Binosi, D.; Papavassiliou, J.
Physical Review D, Vol. 80, Issue 8
DOI: 10.1103/PhysRevD.80.085018

The PDF4LHC21 combination of global PDF fits for the LHC Run III*
journal, July 2022

Ball, Richard D.; Butterworth, Jon; Cooper-Sarkar, Amanda M.
Journal of Physics G: Nuclear and Particle Physics, Vol. 49, Issue 8
DOI: 10.1088/1361-6471/ac7216

Λ MS ¯ n f = 2 $$ {\varLambda}_{\overline{\mathrm{MS}}}^{\left({n}_f=2\right)} $$ from a momentum space analysis of the quark-antiquark static potential
journal, September 2014

Karbstein, Felix; Peters, Antje; Wagner, Marc
Journal of High Energy Physics, Vol. 2014, Issue 9
DOI: 10.1007/JHEP09(2014)114

$α_{S}$ from $Υ$ spectroscopy with dynamical Wilson fermions
journal, September 1999

Spitz, A.; Hoeber, H.; Eicker, N.
Physical Review D, Vol. 60, Issue 7
DOI: 10.1103/PhysRevD.60.074502

Experimental Determination of the Evolution of the Bjorken Integral at Low $Q^{2}$
journal, November 2004

Deur, A.; Bosted, P.; Burkert, V.
Physical Review Letters, Vol. 93, Issue 21
DOI: 10.1103/PhysRevLett.93.212001

New clustering algorithm for multijet cross sections in e+e− annihilation
journal, October 1991

Catani, S.; Dokshitzer, Yu. L.; Olsson, M.
Physics Letters B, Vol. 269, Issue 3-4
DOI: 10.1016/0370-2693(91)90196-W

The gluon is massive: A lattice calculation of the gluon propagator in the Landau gauge
journal, February 1987

Mandula, J. E.; Ogilvie, M.
Physics Letters B, Vol. 185, Issue 1-2
DOI: 10.1016/0370-2693(87)91541-3

The heavy quark potential and the ϒ, J/ψ systems
journal, March 1979

Richardson, John L.
Physics Letters B, Vol. 82, Issue 2
DOI: 10.1016/0370-2693(79)90753-6

Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow
journal, December 2016

Kitazawa, Masakiyo; Iritani, Takumi; Asakawa, Masayuki
Physical Review D, Vol. 94, Issue 11
DOI: 10.1103/PhysRevD.94.114512

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Brodsky, S.
Physics Reports, Vol. 301, Issue 4-6
DOI: 10.1016/S0370-1573(97)00089-6

Precise α determination from charmonium sum rules
journal, July 2020

Boito, Diogo; Mateu, Vicent
Physics Letters B, Vol. 806
DOI: 10.1016/j.physletb.2020.135482

Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions
journal, October 2010

Shintani, E.; Aoki, S.; Fukaya, H.
Physical Review D, Vol. 82, Issue 7
DOI: 10.1103/PhysRevD.82.074505

Gauge Invariance and Mass
journal, January 1962

Schwinger, Julian
Physical Review, Vol. 125, Issue 1
DOI: 10.1103/PhysRev.125.397

The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation
journal, May 2022

Goriachuk, I. O.; Kataev, A. L.; Molokoedov, V. S.
Journal of High Energy Physics, Vol. 2022, Issue 5
DOI: 10.1007/JHEP05(2022)028

Update of the global electroweak fit and constraints on two-Higgs-doublet models
journal, August 2018

Haller, J.; Hoecker, A.; Kogler, R.
The European Physical Journal C, Vol. 78, Issue 8
DOI: 10.1140/epjc/s10052-018-6131-3

Pion parton distribution function in light-front holographic QCD
journal, October 2020

Chang, Lei; Raya, Khépani; Wang, Xiaobin
Chinese Physics C, Vol. 44, Issue 11
DOI: 10.1088/1674-1137/abae52

QCD effective charge from the three-gluon vertex of the background-field method
journal, June 2013

Binosi, D.; Ibañez, D.; Papavassiliou, J.
Physical Review D, Vol. 87, Issue 12
DOI: 10.1103/PhysRevD.87.125026

Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics
journal, August 2008

Brodsky, Stanley J.; Shrock, Robert
Physics Letters B, Vol. 666, Issue 1
DOI: 10.1016/j.physletb.2008.06.054

Determination of ΛMS from quenched and Nf=2 dynamical QCD
journal, November 2001

Booth, S.; Göckeler, M.; Horsley, R.
Physics Letters B, Vol. 519, Issue 3-4
DOI: 10.1016/S0370-2693(01)01103-0

Towards a single scale-dependent Pomeron in holographic light-front QCD
journal, February 2022

Dosch, Hans Günter; de Téramond, Guy F.; Liu, Tianbo
Physical Review D, Vol. 105, Issue 3
DOI: 10.1103/PhysRevD.105.034029

Forms of Relativistic Dynamics
journal, July 1949

Dirac, P. A. M.
Reviews of Modern Physics, Vol. 21, Issue 3
DOI: 10.1103/RevModPhys.21.392

Determining wave equations in holographic QCD from Wilsonian renormalization group
journal, December 2022

Gao, Fei; Yamada, Masatoshi
Physical Review D, Vol. 106, Issue 12
DOI: 10.1103/PhysRevD.106.126003

The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3
journal, March 1995

Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A. M.
Nuclear Physics B, Vol. 438, Issue 1-2
DOI: 10.1016/0550-3213(94)00574-X

Dynamical origin of the refinement of the Gribov-Zwanziger theory
journal, September 2011

Dudal, D.; Sorella, S. P.; Vandersickel, N.
Physical Review D, Vol. 84, Issue 6
DOI: 10.1103/PhysRevD.84.065039

Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
journal, December 2022

Barrios, Nahuel; Peláez, Marcela; Reinosa, Urko
Physical Review D, Vol. 106, Issue 11
DOI: 10.1103/PhysRevD.106.114039

On the phase structure of vector-like gauge theories with massless fermions
journal, March 1982

Banks, T.; Zaks, A.
Nuclear Physics B, Vol. 196, Issue 2
DOI: 10.1016/0550-3213(82)90035-9

Determination of the QCD coupling from ALEPH $τ$ decay data
journal, August 2016

Pich, Antonio; Rodríguez-Sánchez, Antonio
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034027

Matching NLLA+NNLO for event shape distributions
journal, June 2008

Gehrmann, T.; Luisoni, G.; Stenzel, H.
Physics Letters B, Vol. 664, Issue 4-5
DOI: 10.1016/j.physletb.2008.05.023

Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
journal, August 2020

Cvetič, Gorazd; Kögerler, Reinhart
Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 10
DOI: 10.1088/1361-6471/aba421

Impact of dynamical fermions on the center vortex gluon propagator
journal, July 2022

Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B.
Physical Review D, Vol. 106, Issue 1
DOI: 10.1103/PhysRevD.106.014506

Lattice calculation of 1/ p ² corrections to α _s and of Λ _(QCD) in the MOM -tilde scheme
journal, March 2000

Boucaud, Philippe; Burgio, Giuseppe; Renzo, Francesco Di
Journal of High Energy Physics, Vol. 2000, Issue 04
DOI: 10.1088/1126-6708/2000/04/006

Ward identities and charge renormalization of the Yang-Mills field
journal, November 1971

Taylor, J. C.
Nuclear Physics B, Vol. 33, Issue 2
DOI: 10.1016/0550-3213(71)90297-5

The running coupling from the QCD Schrödinger functional: a one-loop analysis
journal, April 1996

Sint, Stefan; Sommer, Rainer
Nuclear Physics B, Vol. 465, Issue 1-2
DOI: 10.1016/0550-3213(96)00020-X

On the elimination of scale ambiguities in perturbative quantum chromodynamics
journal, July 1983

Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B.
Physical Review D, Vol. 28, Issue 1
DOI: 10.1103/PhysRevD.28.228

Smoothing algorithms for projected center-vortex gauge fields
journal, July 2022

Virgili, Adam; Kamleh, Waseem; Leinweber, Derek
Physical Review D, Vol. 106, Issue 1
DOI: 10.1103/PhysRevD.106.014505

Measurement of energy-energy correlations in $e^{+}$ $e^{-}$ →hadrons at √s =29 GeV
journal, June 1985

Fernandez, E.; Ford, W. T.; Qi, N.
Physical Review D, Vol. 31, Issue 11
DOI: 10.1103/PhysRevD.31.2724

Better jet clustering algorithms
journal, August 1997

Dokshitzer, Yu. L.; Leder, G. D.; Moretti, S.
Journal of High Energy Physics, Vol. 1997, Issue 08
DOI: 10.1088/1126-6708/1997/08/001

Nonperturbative Determination of $α (q^{2})$ and Its Experimental Implications
journal, June 1979

Sanda, A. I.
Physical Review Letters, Vol. 42, Issue 25
DOI: 10.1103/PhysRevLett.42.1658

Natural constraints on the gluon-quark vertex
journal, February 2017

Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis
Physical Review D, Vol. 95, Issue 3
DOI: 10.1103/PhysRevD.95.031501

Explanation and prediction of observables using continuum strong QCD
journal, July 2014

Cloët, Ian C.; Roberts, Craig D.
Progress in Particle and Nuclear Physics, Vol. 77
DOI: 10.1016/j.ppnp.2014.02.001

New parton distribution functions from a global analysis of quantum chromodynamics
journal, February 2016

Dulat, Sayipjamal; Hou, Tie-Jiun; Gao, Jun
Physical Review D, Vol. 93, Issue 3
DOI: 10.1103/PhysRevD.93.033006

Scale-dependent mass anomalous dimension from Dirac eigenmodes
journal, July 2013

Cheng, Anqi; Hasenfratz, Anna; Petropoulos, Gregory
Journal of High Energy Physics, Vol. 2013, Issue 7
DOI: 10.1007/JHEP07(2013)061

An investigation of the $$\alpha _S$$ and heavy quark mass dependence in the MSHT20 global PDF analysis
journal, August 2021

Cridge, T.; Harland-Lang, L. A.; Martin, A. D.
The European Physical Journal C, Vol. 81, Issue 8
DOI: 10.1140/epjc/s10052-021-09533-7

Infrared behavior of non-Abelian gauge theories. II
journal, May 1977

Cornwall, John M.; Tiktopoulos, George
Physical Review D, Vol. 15, Issue 10
DOI: 10.1103/PhysRevD.15.2937

Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
journal, May 2006

Brodsky, Stanley J.; de Téramond, Guy F.
Physical Review Letters, Vol. 96, Issue 20
DOI: 10.1103/PhysRevLett.96.201601

Gauge Sector Dynamics in QCD
journal, February 2023

Ferreira, Mauricio Narciso; Papavassiliou, Joannis
Particles, Vol. 6, Issue 1
DOI: 10.3390/particles6010017

Implications of the principle of maximum conformality for the QCD strong coupling
journal, October 2017

Deur, Alexandre; Shen, Jian-Ming; Wu, Xing-Gang
Physics Letters B, Vol. 773
DOI: 10.1016/j.physletb.2017.07.024

High-precision quark masses and QCD coupling from $n_{f} = 4$ lattice QCD
journal, March 2015

Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B.
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054508

Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology
journal, July 2018

Rodríguez-Quintero, Jose; Binosi, Daniele; Mezrag, Cédric
Few-Body Systems, Vol. 59, Issue 6
DOI: 10.1007/s00601-018-1437-0

Reconciling the contour-improved and fixed-order approaches for τ hadronic spectral moments. Part II. Renormalon norm and application in αs determinations
journal, September 2022

Benitez-Rathgeb, Miguel A.; Boito, Diogo; Hoang, André H.
Journal of High Energy Physics, Vol. 2022, Issue 9
DOI: 10.1007/JHEP09(2022)223

Analytic Model for the QCD Running Coupling with Universal ${\bar{α}}_{s} (0)$ Value
journal, August 1997

Shirkov, D. V.; Solovtsov, I. L.
Physical Review Letters, Vol. 79, Issue 7
DOI: 10.1103/PhysRevLett.79.1209

Determination of the strong coupling constant $${\varvec{{\alpha _\mathrm{s} (m_\mathrm{Z})}}}$$ α s ( m Z ) in next-to-next-to-leading order QCD using H1 jet cross section measurements: H1 Collaboration
journal, November 2017

Andreev, V.; Baghdasaryan, A.; Begzsuren, K.
The European Physical Journal C, Vol. 77, Issue 11
DOI: 10.1140/epjc/s10052-017-5314-7

Non-Gaussian wave functionals in Coulomb gauge Yang-Mills theory
journal, November 2010

Campagnari, Davide R.; Reinhardt, Hugo
Physical Review D, Vol. 82, Issue 10
DOI: 10.1103/PhysRevD.82.105021

A fixed-target programme at the LHC: Physics case and projected performances for heavy-ion, hadron, spin and astroparticle studies
journal, May 2021

Hadjidakis, C.; Kikoła, D.; Lansberg, J. P.
Physics Reports, Vol. 911
DOI: 10.1016/j.physrep.2021.01.002

$B$ -Meson Gateways to Missing Charmonium Levels
journal, September 2002

Eichten, Estia J.; Lane, Kenneth; Quigg, Chris
Physical Review Letters, Vol. 89, Issue 16
DOI: 10.1103/PhysRevLett.89.162002

Emergence of Hadron Mass and Structure
journal, January 2023

Ding, Minghui; Roberts, Craig D.; Schmidt, Sebastian M.
Particles, Vol. 6, Issue 1
DOI: 10.3390/particles6010004

Complete renormalization of QCD at five loops
journal, March 2017

Luthe, Thomas; Maier, Andreas; Marquard, Peter
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)020

The nonperturbative functional renormalization group and its applications
journal, May 2021

Dupuis, N.; Canet, L.; Eichhorn, A.
Physics Reports, Vol. 910
DOI: 10.1016/j.physrep.2021.01.001

Renormalization of gauge theories
journal, June 1976

Becchi, C.; Rouet, A.; Stora, R.
Annals of Physics, Vol. 98, Issue 2
DOI: 10.1016/0003-4916(76)90156-1

QCD sum rule calculation of twist-4 corrections to Bjorken and Ellis-Jaffe sum rules
journal, June 1995

Stein, E.; Górnicki, P.; Mankiewicz, L.
Physics Letters B, Vol. 353, Issue 1
DOI: 10.1016/0370-2693(95)00544-U

Connection between center vortices and instantons through gauge-field smoothing
journal, October 2015

Trewartha, Daniel; Kamleh, Waseem; Leinweber, Derek
Physical Review D, Vol. 92, Issue 7
DOI: 10.1103/PhysRevD.92.074507

The five-loop beta function of Yang-Mills theory with fermions
journal, February 2017

Herzog, F.; Ruijl, B.; Ueda, T.
Journal of High Energy Physics, Vol. 2017, Issue 2
DOI: 10.1007/JHEP02(2017)090

Parton distributions in the LHC era: MMHT 2014 PDFs
journal, May 2015

Harland-Lang, L. A.; Martin, A. D.; Motylinski, P.
The European Physical Journal C, Vol. 75, Issue 5
DOI: 10.1140/epjc/s10052-015-3397-6

Strong Running Coupling from the Gauge Sector of Domain Wall Lattice QCD with Physical Quark Masses
journal, April 2019

Zafeiropoulos, S.; Boucaud, Ph.; De Soto, F.
Physical Review Letters, Vol. 122, Issue 16
DOI: 10.1103/PhysRevLett.122.162002

Superconformal baryon-meson symmetry and light-front holographic QCD
journal, April 2015

Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J.
Physical Review D, Vol. 91, Issue 8
DOI: 10.1103/PhysRevD.91.085016

Analytic structure of QCD propagators in Minkowski space
journal, December 2016

Siringo, Fabio
Physical Review D, Vol. 94, Issue 11
DOI: 10.1103/PhysRevD.94.114036

Precision determination of the strong coupling constant within a global PDF analysis: NNPDF Collaboration
journal, May 2018

Ball, Richard D.; Carrazza, Stefano; Debbio, Luigi Del
The European Physical Journal C, Vol. 78, Issue 5
DOI: 10.1140/epjc/s10052-018-5897-7

Determination of $$\alpha _{S}$$ beyond NNLO using event shape averages
journal, April 2021

Kardos, Adam; Somogyi, Gábor; Verbytskyi, Andrii
The European Physical Journal C, Vol. 81, Issue 4
DOI: 10.1140/epjc/s10052-021-08975-3

Absence of neutrinos on a lattice
journal, July 1981

Nielsen, H. B.; Ninomiya, M.
Nuclear Physics B, Vol. 185, Issue 1
DOI: 10.1016/0550-3213(81)90361-8

Five-loop renormalisation of QCD in covariant gauges
journal, October 2017

Chetyrkin, K. G.; Falcioni, G.; Herzog, F.
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)179

The strong coupling and its running to four loops in a minimal MOM scheme
journal, November 2009

von Smekal, Lorenz; Maltman, Kim; Sternbeck, André
Physics Letters B, Vol. 681, Issue 4
DOI: 10.1016/j.physletb.2009.10.030

Reconstruction of the deep inelastic structure functions from their moments
journal, March 1978

Ynduráin, F. J.
Physics Letters B, Vol. 74, Issue 1-2
DOI: 10.1016/0370-2693(78)90062-X

Non-perturbative modification of the Faddeev-Popov formula and banishment of the naive vacuum
journal, December 1982

Zwanziger, Daniel
Nuclear Physics B, Vol. 209, Issue 2
DOI: 10.1016/0550-3213(82)90260-7

QCD Coupling from a Nonperturbative Determination of the Three-Flavor $Λ$ Parameter
journal, September 2017

Bruno, Mattia; Brida, Mattia Dalla; Fritzsch, Patrick
Physical Review Letters, Vol. 119, Issue 10
DOI: 10.1103/PhysRevLett.119.102001

Asymptotic freedom and Goldstone realization of chiral symmetry
journal, October 1974

Lane, Kenneth
Physical Review D, Vol. 10, Issue 8
DOI: 10.1103/PhysRevD.10.2605

Proton and pion distribution functions in counterpoint
journal, July 2022

Lu, Ya; Chang, Lei; Raya, Khépani
Physics Letters B, Vol. 830
DOI: 10.1016/j.physletb.2022.137130

Review of Particle Physics
journal, August 2022

, ; Workman, R. L.; Burkert, V. D.
Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8
DOI: 10.1093/ptep/ptac097

The strange quark mass and Lambda parameter of two flavor QCD
journal, December 2012

Fritzsch, Patrick; Knechtli, Francesco; Leder, Björn
Nuclear Physics B, Vol. 865, Issue 3
DOI: 10.1016/j.nuclphysb.2012.07.026

The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states
journal, November 2001

Alkofer, R.
Physics Reports, Vol. 353, Issue 5-6
DOI: 10.1016/S0370-1573(01)00010-2

Systematics of radial and angular-momentum Regge trajectories of light nonstrange $q \bar{q}$ -states
journal, May 2012

Masjuan, Pere; Arriola, Enrique Ruiz; Broniowski, Wojciech
Physical Review D, Vol. 85, Issue 9
DOI: 10.1103/PhysRevD.85.094006

The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
journal, October 1992

Lüscher, Martin; Narayanan, Rajamani; Weisz, Peter
Nuclear Physics B, Vol. 384, Issue 1-2
DOI: 10.1016/0550-3213(92)90466-O

The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
journal, October 2017

Luthe, Thomas; Maier, Andreas; Marquard, Peter
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)166

Determination of αs from static QCD potential: OPE with renormalon subtraction and lattice QCD
journal, April 2019

Takaura, Hiromasa; Kaneko, Takashi; Kiyo, Yuichiro
Journal of High Energy Physics, Vol. 2019, Issue 4
DOI: 10.1007/JHEP04(2019)155

The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
journal, January 2009

Alkofer, Reinhard; Fischer, Christian S.; Llanes-Estrada, Felipe J.
Annals of Physics, Vol. 324, Issue 1
DOI: 10.1016/j.aop.2008.07.001

Quark masses and strong coupling constant in $2 + 1$ flavor QCD
journal, August 2016

Maezawa, Y.; Petreczky, P.
Physical Review D, Vol. 94, Issue 3
DOI: 10.1103/PhysRevD.94.034507

Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
journal, August 2015

Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S.
Physical Review D, Vol. 92, Issue 4
DOI: 10.1103/PhysRevD.92.045039

Experimental Tests of Perturbative QCD
journal, December 1989

Altarelli, G.
Annual Review of Nuclear and Particle Science, Vol. 39, Issue 1
DOI: 10.1146/annurev.ns.39.120189.002041

On the definition of gauge field operators in lattice gauge-fixed theories
journal, July 1998

Giusti, L.; Paciello, M. L.; Petrarca, S.
Physics Letters B, Vol. 432, Issue 1-2
DOI: 10.1016/S0370-2693(98)00631-5

Physics opportunities of a fixed-target experiment using LHC beams
journal, January 2013

Brodsky, S. J.; Fleuret, F.; Hadjidakis, C.
Physics Reports, Vol. 522, Issue 4
DOI: 10.1016/j.physrep.2012.10.001

Fractional analytic QCD beyond leading order
journal, November 2022

Kotikov, A. V.; Zemlyakov, I. A.
Journal of Physics G: Nuclear and Particle Physics, Vol. 50, Issue 1
DOI: 10.1088/1361-6471/ac99ce

Effective charge from lattice QCD *
journal, August 2020

Cui, Z. -F.; Zhang, J. -L.; Binosi, D.
Chinese Physics C, Vol. 44, Issue 8
DOI: 10.1088/1674-1137/44/8/083102

Analytic structure of the lattice Landau gauge gluon and ghost propagators
journal, December 2020

Falcão, Alexandre F.; Oliveira, Orlando; Silva, Paulo J.
Physical Review D, Vol. 102, Issue 11
DOI: 10.1103/PhysRevD.102.114518

Small distance behaviour in field theory and power counting
journal, September 1970

Symanzik, K.
Communications in Mathematical Physics, Vol. 18, Issue 3
DOI: 10.1007/BF01649434

Measurement of the neutron spin structure function gn1 with a polarized 3He internal target
journal, July 1997

Ackerstaff, K.; Airapetian, A.; Akushevich, I.
Physics Letters B, Vol. 404, Issue 3-4
DOI: 10.1016/S0370-2693(97)00611-4

Determination of perturbative QCD coupling from ALEPH $$\tau $$ decay data using pinched Borel–Laplace and Finite Energy Sum Rules
journal, October 2021

Ayala, César; Cvetič, Gorazd; Teca, Diego
The European Physical Journal C, Vol. 81, Issue 10
DOI: 10.1140/epjc/s10052-021-09664-x

Deep inelastic scattering of polarized electrons by polarized ${}^{3}{He}$ and the study of the neutron spin structure
journal, December 1996

Anthony, P. L.; Arnold, R. G.; Band, H. R.
Physical Review D, Vol. 54, Issue 11
DOI: 10.1103/PhysRevD.54.6620

A study of energy-energy correlations between 12 and 46.8 GeV c.m. energies
journal, September 1987

Braunschweig, W.; Gerhards, R.; Kirschfink, F. J.
Zeitschrift für Physik C Particles and Fields, Vol. 36, Issue 3
DOI: 10.1007/BF01573928

Parton distributions and lattice QCD calculations: A community white paper
journal, May 2018

Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred
Progress in Particle and Nuclear Physics, Vol. 100
DOI: 10.1016/j.ppnp.2018.01.007

Three-point correlation functions in Yang-Mills theory
journal, December 2013

Peláez, Marcela; Tissier, Matthieu; Wschebor, Nicolás
Physical Review D, Vol. 88, Issue 12
DOI: 10.1103/PhysRevD.88.125003

Determination of the deep inelastic contribution to the generalised Gerasimov-Drell-Hearn integral for the proton and neutron
journal, December 1998

Ackerstaff, K.; Airapetian, A.; Akopov, N.
Physics Letters B, Vol. 444, Issue 3-4
DOI: 10.1016/S0370-2693(98)01396-3

An analysis of systematic effects in finite size scaling studies using the gradient flow
journal, January 2021

Nada, Alessandro; Ramos, Alberto
The European Physical Journal C, Vol. 81, Issue 1
DOI: 10.1140/epjc/s10052-020-08759-1

Order $α_{s}^{4}$ QCD Corrections to $Z$ and $τ$ Decays
journal, July 2008

Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.
Physical Review Letters, Vol. 101, Issue 1
DOI: 10.1103/PhysRevLett.101.012002

Infrared properties of QCD from Dyson–Schwinger equations
journal, June 2006

Fischer, Christian S.
Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 8
DOI: 10.1088/0954-3899/32/8/R02

The Determination of the Strong Coupling Constant
book, August 2016

Dissertori, Günther
Advanced Series on Directions in High Energy Physics
DOI: 10.1142/9789814733519_0006

Gauge fixing on the lattice without ambiguity
journal, September 1992

Vink, Jeroen C.; Wiese, Uwe-Jens
Physics Letters B, Vol. 289, Issue 1-2
DOI: 10.1016/0370-2693(92)91372-G

Consistent OPE description of gluon two- and three-point Green functions?
journal, November 2000

Boucaud, Ph; Le Yaouanc, A.; Leroy, J. P.
Physics Letters B, Vol. 493, Issue 3-4
DOI: 10.1016/S0370-2693(00)01149-7

Precise determination of $$\alpha _{S}(M_Z)$$ α S ( M Z ) from a global fit of energy–energy correlation to NNLO+NNLL predictions
journal, June 2018

Kardos, Adam; Kluth, Stefan; Somogyi, Gábor
The European Physical Journal C, Vol. 78, Issue 6
DOI: 10.1140/epjc/s10052-018-5963-1

Superconformal quantum mechanics
journal, January 1984

Fubini, S.; Rabinovici, E.
Nuclear Physics B, Vol. 245
DOI: 10.1016/0550-3213(84)90422-X

Effective quark masses in the chiral limit
journal, December 1976

Politzer, H. David
Nuclear Physics B, Vol. 117, Issue 2
DOI: 10.1016/0550-3213(76)90405-3

Dispersive approach to power-behaved contributions in QCD hard processes
journal, June 1996

Dokshitzer, Yu. L.; Marchesini, G.; Webber, B. R.
Nuclear Physics B, Vol. 469, Issue 1-2
DOI: 10.1016/0550-3213(96)00155-1

Gauge Coupling $β$ Functions to Four-Loop Order in the Standard Model
journal, February 2020

Davies, Joshua; Herren, Florian; Poole, Colin
Physical Review Letters, Vol. 124, Issue 7
DOI: 10.1103/PhysRevLett.124.071803

An analogue model for KSV theory
journal, July 1970

Fairlie, D. B.; Nielsen, H. B.
Nuclear Physics B, Vol. 20, Issue 3
DOI: 10.1016/0550-3213(70)90393-7

Light mesons in QCD and unquenching effects from the 3PI effective action
journal, February 2016

Williams, Richard; Fischer, Christian S.; Heupel, Walter
Physical Review D, Vol. 93, Issue 3
DOI: 10.1103/PhysRevD.93.034026

Quark confinement and vortices in massive gauge-invariant QCD
journal, October 1979

Cornwall, John M.
Nuclear Physics B, Vol. 157, Issue 3
DOI: 10.1016/0550-3213(79)90111-1

Role of center vortices in chiral symmetry breaking in SU(3) gauge theory
journal, August 2011

Bowman, Patrick O.; Langfeld, Kurt; Leinweber, Derek B.
Physical Review D, Vol. 84, Issue 3
DOI: 10.1103/PhysRevD.84.034501

Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979

Peter Lepage, G.; Brodsky, Stanley J.
Physics Letters B, Vol. 87, Issue 4
DOI: 10.1016/0370-2693(79)90554-9

Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD
journal, January 1995

Aoki, S.; Fukugita, M.; Hashimoto, S.
Physical Review Letters, Vol. 74, Issue 1
DOI: 10.1103/PhysRevLett.74.22

New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
journal, April 2008

Dudal, D.; Sorella, S. P.; Vandersickel, N.
Physical Review D, Vol. 77, Issue 7
DOI: 10.1103/PhysRevD.77.071501

The running coupling from SU (3) lattice gauge theory
journal, November 1992

Booth, S. P.; Henty, D. S.; Hulsebos, A.
Physics Letters B, Vol. 294, Issue 3-4
DOI: 10.1016/0370-2693(92)91538-K

Strong coupling constant and heavy quark masses in ( $2 + 1$ )-flavor QCD
journal, August 2019

Petreczky, P.; Weber, J. H.
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/PhysRevD.100.034519

Lattice calculation of α _s in momentum scheme
journal, October 1998

Boucaud, Philippe; Leroy, Jean-Pierre; Micheli, Jacques
Journal of High Energy Physics, Vol. 1998, Issue 10
DOI: 10.1088/1126-6708/1998/10/017

Light-meson leptonic decay rates in lattice $QCD + QED$
journal, August 2019

Di Carlo, M.; Martinelli, G.; Giusti, D.
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/PhysRevD.100.034514

Novel and Self-Consistency Analysis of the QCD Running Coupling α _s(Q) in Both the Perturbative and Nonperturbative Domains
journal, June 2022

Yu, Qing; Zhou, Hua; Huang, Xu-Dong
Chinese Physics Letters, Vol. 39, Issue 7
DOI: 10.1088/0256-307X/39/7/071201

Analytical study of Yang–Mills theory in the infrared from first principles
journal, June 2016

Siringo, Fabio
Nuclear Physics B, Vol. 907
DOI: 10.1016/j.nuclphysb.2016.04.028

Scalar correlator, Higgs decay into quarks, and scheme variations of the QCD coupling
journal, October 2016

Jamin, Matthias; Miravitllas, Ramon
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)059

Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD
journal, September 2017

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10
DOI: 10.1088/1361-6471/aa888a

Measurements of the Q2-dependence of the proton and neutron spin structure functions g1p and g1n
journal, November 2000

Anthony, P. L.; Arnold, R. G.; Averett, T.
Physics Letters B, Vol. 493, Issue 1-2
DOI: 10.1016/S0370-2693(00)01014-5

Determination ofαsfrom energy-energy correlations ine+e−annihilation at 29 GeV
journal, June 1988

Wood, D. R.; Petersen, A.; Abrams, G.
Physical Review D, Vol. 37, Issue 11
DOI: 10.1103/PhysRevD.37.3091

Landau gauge Yang-Mills correlation functions
journal, September 2016

Cyrol, Anton K.; Fister, Leonard; Mitter, Mario
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.054005

Comment on “Lattice gluon and ghost propagators and the strong coupling in pure $S U (3)$ Yang-Mills theory: Finite lattice spacing and volume effects”
journal, November 2017

Boucaud, Ph.; De Soto, F.; Rodríguez-Quintero, J.
Physical Review D, Vol. 96, Issue 9
DOI: 10.1103/PhysRevD.96.098501

Partonic structure of neutral pseudoscalars via two photon transition form factors
journal, April 2017

Raya, Khépani; Ding, Minghui; Bashir, Adnan
Physical Review D, Vol. 95, Issue 7
DOI: 10.1103/PhysRevD.95.074014

Reply to “Comment on ‘Lattice gluon and ghost propagators and the strong coupling in pure $S U (3)$ Yang-Mills theory: Finite lattice spacing and volume effects’ ”
journal, November 2017

Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J.
Physical Review D, Vol. 96, Issue 9
DOI: 10.1103/PhysRevD.96.098502

Measurements of the Q2-dependence of the proton and deuteron spin structure functions g1p and g1d
journal, December 1995

Abe, K.; Akagi, T.; Anthony, P. L.
Physics Letters B, Vol. 364, Issue 1
DOI: 10.1016/0370-2693(95)01340-2

Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate $⟨ A^{2} ⟩$ in the Landau gauge
journal, April 2010

Dudal, D.; Oliveira, O.; Vandersickel, N.
Physical Review D, Vol. 81, Issue 7
DOI: 10.1103/PhysRevD.81.074505

Specific features of heavy quark production: Local parton-hadron duality approach to heavy particle spectra
journal, January 1996

Dokshitzer, Yu. L.; Khoze, V. A.; Troyan, S. I.
Physical Review D, Vol. 53, Issue 1
DOI: 10.1103/PhysRevD.53.89

On the Theory of Dispersion of X-Rays
journal, January 1926

de L. Kronig, R.
Journal of the Optical Society of America, Vol. 12, Issue 6
DOI: 10.1364/JOSA.12.000547

Walking signals in $N_{f} = 8$ QCD on the lattice
journal, May 2013

Aoki, Yasumichi; Aoyama, Tatsumi; Kurachi, Masafumi
Physical Review D, Vol. 87, Issue 9
DOI: 10.1103/PhysRevD.87.094511

Light-Front Holography: A First Approximation to QCD
journal, February 2009

de Téramond, Guy F.; Brodsky, Stanley J.
Physical Review Letters, Vol. 102, Issue 8
DOI: 10.1103/PhysRevLett.102.081601

Lattice Gluon Propagator and One-Gluon-Exchange Potential
journal, April 2019

Cucchieri, Attilio; Mendes, Tereza; Serenone, Willian M.
Brazilian Journal of Physics, Vol. 49, Issue 4
DOI: 10.1007/s13538-019-00665-6

Gluon propagator on a center-vortex background
journal, November 2018

Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B.
Physical Review D, Vol. 98, Issue 9
DOI: 10.1103/PhysRevD.98.094504

Renormalons in integrated spectral function moments and $α_{s}$ extractions
journal, April 2020

Boito, Diogo; Oliani, Fabio
Physical Review D, Vol. 101, Issue 7
DOI: 10.1103/PhysRevD.101.074003

New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
journal, January 2021

Hou, Tie-Jiun; Gao, Jun; Hobbs, T. J.
Physical Review D, Vol. 103, Issue 1
DOI: 10.1103/PhysRevD.103.014013

QCD gluon vertices from the string-inspired formalism
journal, July 2016

Ahmadiniaz, Naser; Schubert, Christian
International Journal of Modern Physics E, Vol. 25, Issue 07
DOI: 10.1142/S0218301316420040

Hard Scattering and Gauge/String Duality
journal, January 2002

Polchinski, Joseph; Strassler, Matthew J.
Physical Review Letters, Vol. 88, Issue 3
DOI: 10.1103/PhysRevLett.88.031601

On the running coupling constant in QCD
journal, April 2007

Prosperi, G. M.; Raciti, M.; Simolo, C.
Progress in Particle and Nuclear Physics, Vol. 58, Issue 2
DOI: 10.1016/j.ppnp.2006.09.001

On-Shell Asymptotics of Non-Abelian Gauge Theories
journal, August 1975

Cornwall, John M.; Tiktopoulos, George
Physical Review Letters, Vol. 35, Issue 6
DOI: 10.1103/PhysRevLett.35.338

The common elements of atomic and hadronic physics
journal, March 2015

Brodsky, Stanley J.
Hyperfine Interactions, Vol. 234, Issue 1-3
DOI: 10.1007/s10751-015-1153-9

Power corrections 1/Q2to parton sum rules for deep inelastic scattering from polarized nucleons
journal, June 1990

Balitsky, I. I.; Braun, V. M.; Kolesnichenko, A. V.
Physics Letters B, Vol. 242, Issue 2
DOI: 10.1016/0370-2693(90)91465-N

Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order $α_{s}^{4}$ in a General Gauge Theory
journal, March 2010

Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.
Physical Review Letters, Vol. 104, Issue 13
DOI: 10.1103/PhysRevLett.104.132004

Effective confining potentials for QCD
journal, October 2014

Trawiński, Arkadiusz P.; Głazek, Stanisław D.; Brodsky, Stanley J.
Physical Review D, Vol. 90, Issue 7
DOI: 10.1103/PhysRevD.90.074017

Gluon propagator in linear covariant $R_{ξ}$ gauges
journal, August 2018

Siringo, Fabio; Comitini, Giorgio
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.034023

Renormalizability of the critical limit of lattice gauge theory by BRS invariance
journal, July 1993

Zwanziger, Daniel
Nuclear Physics B, Vol. 399, Issue 2-3
DOI: 10.1016/0550-3213(93)90506-K

Measurement and QCD analysis of double-differential inclusive jet cross sections in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV and cross section ratios to 2.76 and 7 TeV
journal, March 2017

Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)156

Determination of the strong coupling constant from the charmonium spectrum
journal, August 1992

El-Khadra, Aida X.; Hockney, George; Kronfeld, Andreas S.
Physical Review Letters, Vol. 69, Issue 5
DOI: 10.1103/PhysRevLett.69.729

Strong Running Coupling at $τ$ and $Z_{0}$ Mass Scales from Lattice QCD
journal, June 2012

Blossier, B.; Boucaud, Ph.; Brinet, M.
Physical Review Letters, Vol. 108, Issue 26
DOI: 10.1103/PhysRevLett.108.262002

Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
journal, May 2016

Reinosa, U.; Serreau, J.; Tissier, M.
Physical Review D, Vol. 93, Issue 10
DOI: 10.1103/PhysRevD.93.105002

Analysis of the energy weighted angular correlations in hadronice + e ? annihilations at 22 and 34 GeV
journal, June 1982

Behrend, H. -J.; Chen, Ch.; Fenner, H.
Zeitschrift f�r Physik C Particles and Fields, Vol. 14, Issue 2
DOI: 10.1007/BF01495029

Measurement of the Running of Effective QED Coupling at Large Momentum Transfer in the Spacelike Region
journal, September 1998

Odaka, S.; Abe, K.; Amako, K.
Physical Review Letters, Vol. 81, Issue 12
DOI: 10.1103/PhysRevLett.81.2428

The Gribov problem and QCD dynamics
journal, November 2012

Vandersickel, N.; Zwanziger, Daniel
Physics Reports, Vol. 520, Issue 4
DOI: 10.1016/j.physrep.2012.07.003

Lifting the Gribov ambiguity in Yang–Mills theories
journal, May 2012

Serreau, J.; Tissier, M.
Physics Letters B, Vol. 712, Issue 1-2
DOI: 10.1016/j.physletb.2012.04.041

Commensurate scale relations in quantum chromodynamics
journal, April 1995

Brodsky, Stanley J.; Lu, Hung Jung
Physical Review D, Vol. 51, Issue 7
DOI: 10.1103/PhysRevD.51.3652

On analytic properties of vertex parts in quantum field theory
journal, October 1959

Landau, L. D.
Nuclear Physics, Vol. 13, Issue 1
DOI: 10.1016/0029-5582(59)90154-3

Experimental Determination of the QCD Effective Charge αg1(Q)
journal, May 2022

Deur, Alexandre; Burkert, Volker; Chen, Jian-Ping
Particles, Vol. 5, Issue 2
DOI: 10.3390/particles5020015

Lattice-motivated holomorphic nearly perturbative QCD
journal, May 2017

Ayala, César; Cvetič, Gorazd; Kögerler, Reinhart
Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 7
DOI: 10.1088/1361-6471/aa6fdf

Emergence of mass in the gauge sector of QCD*
journal, November 2022

Papavassiliou, J.
Chinese Physics C, Vol. 46, Issue 11
DOI: 10.1088/1674-1137/ac84ca

Science Requirements and Detector Concepts for the Electron-Ion Collider
journal, October 2022

Abdul Khalek, R.; Accardi, A.; Adam, J.
Nuclear Physics A, Vol. 1026
DOI: 10.1016/j.nuclphysa.2022.122447

Conjecture Concerning the Properties of Nonrenormalizable Field Theories
journal, August 1958

Redmond, Peter J.; Uretsky, Jack L.
Physical Review Letters, Vol. 1, Issue 4
DOI: 10.1103/PhysRevLett.1.147

Gluon propagator and three-gluon vertex with dynamical quarks
journal, February 2020

Aguilar, A. C.; De Soto, F.; Ferreira, M. N.
The European Physical Journal C, Vol. 80, Issue 2
DOI: 10.1140/epjc/s10052-020-7741-0

Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
journal, September 2016

Nakayama, Katsumasa; Fahy, Brendan; Hashimoto, Shoji
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.054507

Scheme Variations of the QCD Coupling and Hadronic $τ$ Decays
journal, October 2016

Boito, Diogo; Jamin, Matthias; Miravitllas, Ramon
Physical Review Letters, Vol. 117, Issue 15
DOI: 10.1103/PhysRevLett.117.152001

Order α2S contributions to the deep inelastic Wilson coefficient
journal, November 1991

van Neerven, W. L.; Zijlstra, E. B.
Physics Letters B, Vol. 272, Issue 1-2
DOI: 10.1016/0370-2693(91)91024-P

Lattice determinations of the strong coupling
journal, July 2021

Del Debbio, Luigi; Ramos, Alberto
Physics Reports, Vol. 920
DOI: 10.1016/j.physrep.2021.03.005

Static energy in ( 2+1+1 )-flavor lattice QCD: Scale setting and charm effects
journal, April 2023

Brambilla, Nora; Delgado, Rafael L.; Kronfeld, Andreas S.
Physical Review D, Vol. 107, Issue 7
DOI: 10.1103/PhysRevD.107.074503

Collider physics at the precision frontier
journal, August 2021

Heinrich, Gudrun
Physics Reports, Vol. 922
DOI: 10.1016/j.physrep.2021.03.006

Extraction of the strong coupling αs(mZ) from a combined NNLO analysis of inclusive electroweak boson cross sections at hadron colliders
journal, June 2020

d’Enterria, David; Poldaru, Andres
Journal of High Energy Physics, Vol. 2020, Issue 6
DOI: 10.1007/JHEP06(2020)016

A numerical method to compute the running coupling in asymptotically free theories
journal, July 1991

Lüscher, Martin; Weisz, Peter; Wolff, Ulli
Nuclear Physics B, Vol. 359, Issue 1
DOI: 10.1016/0550-3213(91)90298-C

Static quark potential from center vortices in the presence of dynamical fermions
journal, September 2022

Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B.
Physical Review D, Vol. 106, Issue 5
DOI: 10.1103/PhysRevD.106.054505

Order-αs2 QCD corrections to the deep inelastic proton structure functions F2 and FL
journal, September 1992

Zijlstra, E. B.; van Neerven, W. L.
Nuclear Physics B, Vol. 383, Issue 3
DOI: 10.1016/0550-3213(92)90087-R

Determination of the strong coupling constant αS(mZ) from measurements of inclusive W± and Z boson production cross sections in proton-proton collisions at $$ \sqrt{\mathrm{s}} $$ = 7 and 8 TeV
journal, June 2020

Sirunyan, A. M.; Tumasyan, A.; Adam, W.
Journal of High Energy Physics, Vol. 2020, Issue 6
DOI: 10.1007/JHEP06(2020)018

Determination of the strong coupling constant $$\alpha _\mathrm {s}$$ α s from transverse energy–energy correlations in multijet events at $$\sqrt{s} = 8~\hbox {TeV}$$ s = 8 TeV using the ATLAS detector
journal, December 2017

Aaboud, M.; Aad, G.; Abbott, B.
The European Physical Journal C, Vol. 77, Issue 12
DOI: 10.1140/epjc/s10052-017-5442-0

Light-front holographic QCD and emerging confinement
journal, July 2015

Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
Physics Reports, Vol. 584
DOI: 10.1016/j.physrep.2015.05.001

Gauge Invariance and Mass. II
journal, December 1962

Schwinger, Julian
Physical Review, Vol. 128, Issue 5
DOI: 10.1103/PhysRev.128.2425

Constraints on parton distribution functions and extraction of the strong coupling constant from the inclusive jet cross section in pp collisions at $$\sqrt{s} = 7$$ s = 7 $$\,\text {TeV}$$ TeV
journal, June 2015

Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.
The European Physical Journal C, Vol. 75, Issue 6
DOI: 10.1140/epjc/s10052-015-3499-1

Leading-twist parton distribution amplitudes of S -wave heavy-quarkonia
journal, February 2016

Ding, Minghui; Gao, Fei; Chang, Lei
Physics Letters B, Vol. 753
DOI: 10.1016/j.physletb.2015.11.075

Ellis-Jaffe sum rule: The estimates of the next-to-next-to-leading-order QCD corrections
journal, November 1994

Kataev, A. L.
Physical Review D, Vol. 50, Issue 9
DOI: 10.1103/PhysRevD.50.R5469

$ {\Lambda_{{\overline {\text{MS}} }}} $ from the static potential for QCD with n f = 2 dynamical quark flavors
journal, January 2012

Jansen, Karl; Karbstein, Felix; Nagy, Attila
Journal of High Energy Physics, Vol. 2012, Issue 1
DOI: 10.1007/JHEP01(2012)025

Introduction to complex orbital momenta
journal, December 1959

Regge, T.
Il Nuovo Cimento, Vol. 14, Issue 5
DOI: 10.1007/BF02728177

Running Coupling Constant from Position-Space Current-Current Correlation Functions in Three-Flavor Lattice QCD
journal, December 2020

Calì, Salvatore; Cichy, Krzysztof; Korcyl, Piotr
Physical Review Letters, Vol. 125, Issue 24
DOI: 10.1103/PhysRevLett.125.242002

Vanishing of zero-momentum lattice gluon propagator and color confinement
journal, October 1991

Zwanziger, Daniel
Nuclear Physics B, Vol. 364, Issue 1
DOI: 10.1016/0550-3213(91)90581-H

Absence of neutrinos on a lattice
journal, December 1981

Nielsen, H. B.; Ninomiya, M.
Nuclear Physics B, Vol. 193, Issue 1
DOI: 10.1016/0550-3213(81)90524-1

Total Top-Quark Pair-Production Cross Section at Hadron Colliders Through $O (α_{S}^{4})$
journal, June 2013

Czakon, Michał; Fiedler, Paul; Mitov, Alexander
Physical Review Letters, Vol. 110, Issue 25
DOI: 10.1103/PhysRevLett.110.252004

More on the renormalization of the horizon function of the Gribov–Zwanziger action and the Kugo–Ojima Green function(s)
journal, April 2010

Dudal, D.; Sorella, S. P.; Vandersickel, N.
The European Physical Journal C, Vol. 68, Issue 1-2
DOI: 10.1140/epjc/s10052-010-1304-8

Aspects of SU(Nc) gauge theories in the limit of small number of colors
journal, January 1998

Brodsky, Stanley J.; Huet, Patrick
Physics Letters B, Vol. 417, Issue 1-2
DOI: 10.1016/S0370-2693(97)01209-4

Strong coupling from an improved $τ$ vector isovector spectral function
journal, February 2021

Boito, Diogo; Golterman, Maarten; Maltman, Kim
Physical Review D, Vol. 103, Issue 3
DOI: 10.1103/PhysRevD.103.034028

Bethe–Salpeter kernel and properties of strange-quark mesons
journal, March 2023

Xu, Zhen-Ni; Yao, Zhao-Qian; Qin, Si-Xue
The European Physical Journal A, Vol. 59, Issue 3
DOI: 10.1140/epja/s10050-023-00951-7

Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane
journal, January 2013

Abbas, Gauhar; Ananthanarayan, B.; Caprini, Irinel
Physical Review D, Vol. 87, Issue 1
DOI: 10.1103/PhysRevD.87.014008

Infrared exponents and running coupling of SU(N) Yang–Mills theories
journal, May 2002

Fischer, C. S.; Alkofer, R.
Physics Letters B, Vol. 536, Issue 1-2
DOI: 10.1016/S0370-2693(02)01809-9

Charge renormalization group in quantum field theory
journal, May 1956

Bogoljubov, N. N.; šiekov, D. V.
Il Nuovo Cimento, Vol. 3, Issue 5
DOI: 10.1007/BF02823486

The role of different schemes in the QCD analysis and determination of the strong coupling
journal, August 2017

Vafaee, A.; Khorramian, A. N.
Nuclear Physics B, Vol. 921
DOI: 10.1016/j.nuclphysb.2017.06.011

Aspects of the functional renormalisation group
journal, December 2007

Pawlowski, Jan M.
Annals of Physics, Vol. 322, Issue 12
DOI: 10.1016/j.aop.2007.01.007

The spin structure function $g_{1}^{p}$ of the proton and a test of the Bjorken sum rule
journal, February 2016

Adolph, C.; Akhunzyanov, R.; Alexeev, M. G.
Physics Letters B, Vol. 753
DOI: 10.1016/j.physletb.2015.11.064

Feynman diagrams for the Yang-Mills field
journal, July 1967

Faddeev, L. D.; Popov, V. N.
Physics Letters B, Vol. 25, Issue 1
DOI: 10.1016/0370-2693(67)90067-6

Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs
journal, September 2001

Santiago, J.; Ynduráin, F. J.
Nuclear Physics B, Vol. 611, Issue 1-3
DOI: 10.1016/S0550-3213(01)00328-5

Determination of 55-155-155-1in second order QCD from hadronicZ decays
journal, March 1992

, ; Abreu, P.; Adam, W.
Zeitschrift für Physik C Particles and Fields, Vol. 54, Issue 1
DOI: 10.1007/BF01881708

Measurement of the spin-dependent structure function g1(x) of the deuteron
journal, April 1993

Adeva, B.; Ahmad, S.; Arvidson, A.
Physics Letters B, Vol. 302, Issue 4
DOI: 10.1016/0370-2693(93)90438-N

Critical Phenomena: field theoretical approach
journal, January 2010

Zinn-Justin, Jean
Scholarpedia, Vol. 5, Issue 5
DOI: 10.4249/scholarpedia.8346

Physical renormalization schemes and grand unification
journal, May 2004

Binger, Michael; Brodsky, Stanley J.
Physical Review D, Vol. 69, Issue 9
DOI: 10.1103/PhysRevD.69.095007

Confinement of quarks
journal, October 1974

Wilson, Kenneth G.
Physical Review D, Vol. 10, Issue 8
DOI: 10.1103/PhysRevD.10.2445

Precision Measurement of the Deuteron Spin Structure Function $g_{1}^{d}$
journal, July 1995

Abe, K.; Akagi, T.; Anthony, P. L.
Physical Review Letters, Vol. 75, Issue 1
DOI: 10.1103/PhysRevLett.75.25

$S U (3)$ Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
journal, March 2011

Ilgenfritz, Ernst-Michael; Menz, Christoph; Müller-Preussker, Michael
Physical Review D, Vol. 83, Issue 5
DOI: 10.1103/PhysRevD.83.054506

Renormalization-scheme-invariant QCD and QED: The method of effective charges
journal, May 1984

Grunberg, G.
Physical Review D, Vol. 29, Issue 10
DOI: 10.1103/PhysRevD.29.2315

Alternative refined Gribov-Zwanziger Lagrangian
journal, October 2010

Gracey, J. A.
Physical Review D, Vol. 82, Issue 8
DOI: 10.1103/PhysRevD.82.085032

The QCD running coupling
journal, September 2016

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
Progress in Particle and Nuclear Physics, Vol. 90
DOI: 10.1016/j.ppnp.2016.04.003

Experimental study of isovector spin sum rules
journal, August 2008

Deur, A.; Bosted, P.; Burkert, V.
Physical Review D, Vol. 78, Issue 3
DOI: 10.1103/PhysRevD.78.032001

Calculation of electroproduction to NNLO and precision determination of αs
journal, December 1999

Santiago, J.; Ynduráin, F. J.
Nuclear Physics B, Vol. 563, Issue 1-2
DOI: 10.1016/S0550-3213(99)00441-1

The generalized scheme-independent Crewther relation in QCD
journal, July 2017

Shen, Jian-Ming; Wu, Xing-Gang; Ma, Yang
Physics Letters B, Vol. 770
DOI: 10.1016/j.physletb.2017.05.022

On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
journal, January 1996

de Boer, Jan; Skenderis, Kostas; van Nieuwenhuizen, Peter
Physics Letters B, Vol. 367, Issue 1-4
DOI: 10.1016/0370-2693(95)01455-1

Testing perturbation theory on the Nf=0 static quark potential
journal, December 2001

Necco, Silvia; Sommer, Rainer
Physics Letters B, Vol. 523, Issue 1-2
DOI: 10.1016/S0370-2693(01)01298-9

Hadronic Regge trajectories: Problems and approaches
journal, February 2001

Inopin, A.; Sharov, G. S.
Physical Review D, Vol. 63, Issue 5
DOI: 10.1103/PhysRevD.63.054023

The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980

Tarasov, O. V.; Vladimirov, A. A.; Zharkov, A. Yu.
Physics Letters B, Vol. 93, Issue 4
DOI: 10.1016/0370-2693(80)90358-5

Transverse force on transversely polarized quarks in longitudinally polarized nucleons
journal, November 2016

Abdallah, Manal; Burkardt, Matthias
Physical Review D, Vol. 94, Issue 9
DOI: 10.1103/PhysRevD.94.094040

Running coupling and the $Λ$ parameter from SU(3) lattice simulations
journal, January 1993

Bali, Gunnar S.; Schilling, Klaus
Physical Review D, Vol. 47, Issue 2
DOI: 10.1103/PhysRevD.47.661

SU(3) Yang Mills theory at small distances and fine lattices
journal, January 2018

Husung, Nikolai; Koren, Mateusz; Krah, Philipp
EPJ Web of Conferences, Vol. 175
DOI: 10.1051/epjconf/201817514024

Deconfinement transition in SU( N ) theories from perturbation theory
journal, March 2015

Reinosa, U.; Serreau, J.; Tissier, M.
Physics Letters B, Vol. 742
DOI: 10.1016/j.physletb.2015.01.006

QCD at finite temperature and chemical potential from Dyson–Schwinger equations
journal, March 2019

Fischer, Christian S.
Progress in Particle and Nuclear Physics, Vol. 105
DOI: 10.1016/j.ppnp.2019.01.002

Gauge-invariant three-gluon vertex in QCD
journal, November 1989

Cornwall, John M.; Papavassiliou, Joannis
Physical Review D, Vol. 40, Issue 10
DOI: 10.1103/PhysRevD.40.3474

α _s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory
journal, September 2008

Beneke, Martin; Jamin, Matthias
Journal of High Energy Physics, Vol. 2008, Issue 09
DOI: 10.1088/1126-6708/2008/09/044

Non-perturbative determination of the Λ-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
journal, December 2017

Ishikawa, Ken-Ichi; Kanamori, Issaku; Murakami, Yuko
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)067

Small-distance-behaviour analysis and Wilson expansions
journal, March 1971

Symanzik, K.
Communications in Mathematical Physics, Vol. 23, Issue 1
DOI: 10.1007/BF01877596

High-precision $c$ and $b$ masses, and QCD coupling from current-current correlators in lattice and continuum QCD
journal, August 2010

McNeile, C.; Davies, C. T. H.; Follana, E.
Physical Review D, Vol. 82, Issue 3
DOI: 10.1103/PhysRevD.82.034512

Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics
journal, November 2015

Deur, A.; Brodsky, S. J.; de Teramond, G. F.
Physics Letters B, Vol. 750
DOI: 10.1016/j.physletb.2015.09.063

Elimination of Ghosts in Propagators
journal, November 1958

Redmond, P. J.
Physical Review, Vol. 112, Issue 4
DOI: 10.1103/PhysRev.112.1404

Three-Loop Static Potential
journal, March 2010

Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
Physical Review Letters, Vol. 104, Issue 11
DOI: 10.1103/PhysRevLett.104.112002

On the Green's functions of quantized fields. I
journal, July 1951

Schwinger, J.
Proceedings of the National Academy of Sciences, Vol. 37, Issue 7
DOI: 10.1073/pnas.37.7.452

Static QCD Potential at Three-Loop Order
journal, March 2010

Anzai, C.; Kiyo, Y.; Sumino, Y.
Physical Review Letters, Vol. 104, Issue 11
DOI: 10.1103/PhysRevLett.104.112003

On the Green's functions of quantized fields. II
journal, July 1951

Schwinger, J.
Proceedings of the National Academy of Sciences, Vol. 37, Issue 7
DOI: 10.1073/pnas.37.7.455

High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm
journal, January 2014

Blossier, B.; Boucaud, Ph.; Brinet, M.
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.014507

On the analytically-improved running coupling in QCD
journal, May 2022

Brandt, F. T.; Frenkel, J.; McKeon, D. G. C.
Modern Physics Letters A, Vol. 37, Issue 15
DOI: 10.1142/S0217732322500924

Symmetry, symmetry breaking, and pion parton distributions
journal, March 2020

Ding, Minghui; Raya, Khépani; Binosi, Daniele
Physical Review D, Vol. 101, Issue 5
DOI: 10.1103/PhysRevD.101.054014

Quantum superconformal model in (1, 2) space
journal, September 1983

Akulov, V. P.; Pashnev, A. I.
Theoretical and Mathematical Physics, Vol. 56, Issue 3
DOI: 10.1007/BF01086252

Determination of αs from hadronic event shapes measured on the Z0 resonance
journal, June 1992

Adrian, O.; Aguilar-Benitez, M.; Ahlen, S.
Physics Letters B, Vol. 284, Issue 3-4
DOI: 10.1016/0370-2693(92)90463-E

Artificial dynamical effects in quantum field theory
journal, May 2022

Brodsky, Stanley J.; Deur, Alexandre; Roberts, Craig D.
Nature Reviews Physics, Vol. 4, Issue 7
DOI: 10.1038/s42254-022-00453-3

Infrared propagators of Yang-Mills theory from perturbation theory
journal, November 2010

Tissier, Matthieu; Wschebor, Nicolás
Physical Review D, Vol. 82, Issue 10
DOI: 10.1103/PhysRevD.82.101701

Is the QCD ghost dressing function finite at zero momentum ?
journal, June 2006

Boucaud, Philippe; Brüntjen, Thorsten; Leroy, Jean Pierre
Journal of High Energy Physics, Vol. 2006, Issue 06
DOI: 10.1088/1126-6708/2006/06/001

Scale-setting, flavor dependence, and chiral symmetry restoration
journal, June 2017

Binosi, Daniele; Roberts, Craig D.; Rodríguez-Quintero, José
Physical Review D, Vol. 95, Issue 11
DOI: 10.1103/PhysRevD.95.114009

Gluon propagator in Feynman gauge by the method of stationary variance
journal, November 2014

Siringo, Fabio
Physical Review D, Vol. 90, Issue 9
DOI: 10.1103/PhysRevD.90.094021

QCD formulation of the tau decay and determination of ΛMS¯
journal, August 1988

Narison, S.; Pich, A.
Physics Letters B, Vol. 211, Issue 1-2
DOI: 10.1016/0370-2693(88)90830-1

Centre vortex removal restores chiral symmetry
journal, November 2017

Trewartha, Amalie; Kamleh, Waseem; Leinweber, Derek B.
Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 12
DOI: 10.1088/1361-6471/aa9443

Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
journal, June 2009

Bogolubsky, I. L.; Ilgenfritz, E. -M.; Müller-Preussker, M.
Physics Letters B, Vol. 676, Issue 1-3
DOI: 10.1016/j.physletb.2009.04.076

Dynamical mass generation in continuum quantum chromodynamics
journal, September 1982

Cornwall, John M.
Physical Review D, Vol. 26, Issue 6
DOI: 10.1103/PhysRevD.26.1453

Lattice three-gluon vertex in extended kinematics: Planar degeneracy
journal, March 2023

Pinto-Gómez, F.; De Soto, F.; Ferreira, M. N.
Physics Letters B, Vol. 838
DOI: 10.1016/j.physletb.2023.137737

The $S$ Matrix in Quantum Electrodynamics
journal, June 1949

Dyson, F. J.
Physical Review, Vol. 75, Issue 11
DOI: 10.1103/PhysRev.75.1736

Quantum chromodynamics
journal, February 1978

Marciano, William; Pagels, Heinz
Physics Reports, Vol. 36, Issue 3
DOI: 10.1016/0370-1573(78)90208-9

Universal effective hadron dynamics from superconformal algebra
journal, August 2016

Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
Physics Letters B, Vol. 759
DOI: 10.1016/j.physletb.2016.05.068

The relativistic bound state problem in QCD: transverse lattice methods
journal, January 2002

Burkardt, M.; Dalley, S.
Progress in Particle and Nuclear Physics, Vol. 48, Issue 2
DOI: 10.1016/S0146-6410(02)00140-0

The background field method beyond one loop
journal, July 1981

Abbott, L. F.
Nuclear Physics B, Vol. 185, Issue 1
DOI: 10.1016/0550-3213(81)90371-0

Ghost dynamics in the soft gluon limit
journal, September 2021

Aguilar, A. C.; Ambrósio, C. O.; De Soto, F.
Physical Review D, Vol. 104, Issue 5
DOI: 10.1103/PhysRevD.104.054028

A precise determination of the running coupling in the SU(3) Yang-Mills theory
journal, January 1994

Lüscher, Martin; Sommer, Rainer; Weisz, Peter
Nuclear Physics B, Vol. 413, Issue 1-2
DOI: 10.1016/0550-3213(94)90629-7

On some ambiguities in the method of effective charges
journal, July 1989

Grunberg, G.
Physical Review D, Vol. 40, Issue 2
DOI: 10.1103/PhysRevD.40.680

QCD phase structure at finite temperature and density
journal, March 2020

Fu, Wei-jie; Pawlowski, Jan M.; Rennecke, Fabian
Physical Review D, Vol. 101, Issue 5
DOI: 10.1103/PhysRevD.101.054032

Two-loop calculation of Yang-Mills propagators in the Curci-Ferrari model
journal, August 2019

Gracey, John A.; Peláez, Marcela; Reinosa, Urko
Physical Review D, Vol. 100, Issue 3
DOI: 10.1103/PhysRevD.100.034023

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980

Lepage, G. Peter; Brodsky, Stanley J.
Physical Review D, Vol. 22, Issue 9
DOI: 10.1103/PhysRevD.22.2157

More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges
journal, March 2016

Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S.
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.065019

SU(3)center vortices underpin confinement and dynamical chiral symmetry breaking
journal, September 2012

O’Malley, Elyse-Ann; Kamleh, Waseem; Leinweber, Derek
Physical Review D, Vol. 86, Issue 5
DOI: 10.1103/PhysRevD.86.054503

Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding
journal, February 2015

de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
Physical Review D, Vol. 91, Issue 4
DOI: 10.1103/PhysRevD.91.045040

Fundamentals of the exact renormalization group
journal, February 2012

Rosten, Oliver J.
Physics Reports, Vol. 511, Issue 4
DOI: 10.1016/j.physrep.2011.12.003

Update: Accurate determinations of $α_{s}$ from realistic lattice QCD
journal, December 2008

Davies, C. T. H.; Hornbostel, K.; Kendall, I. D.
Physical Review D, Vol. 78, Issue 11
DOI: 10.1103/PhysRevD.78.114507

Light-cone-quantized QCD in 1+1 dimensions
journal, June 1990

Hornbostel, Kent; Brodsky, Stanley J.; Pauli, Hans-Christian
Physical Review D, Vol. 41, Issue 12
DOI: 10.1103/PhysRevD.41.3814

Determination of the strong coupling constant using inclusive jet cross section data from multiple experiments
journal, January 2019

Britzger, Daniel; Rabbertz, Klaus; Savoiu, Daniel
The European Physical Journal C, Vol. 79, Issue 1
DOI: 10.1140/epjc/s10052-019-6551-8

Precision measurement of the proton and deuteron spin structure functions g2 and asymmetries A2
journal, January 2003

Anthony, P. L.; Arnold, R. G.; Averett, T.
Physics Letters B, Vol. 553, Issue 1-2
DOI: 10.1016/S0370-2693(02)03015-0

Inelastic Electron-Proton and $γ$ -Proton Scattering and the Structure of the Nucleon
journal, September 1969

Bjorken, J. D.; Paschos, E. A.
Physical Review, Vol. 185, Issue 5
DOI: 10.1103/PhysRev.185.1975

Measurements of the Proton and Deuteron Spin Structure Function $g_{2}$ and Asymmetry $A_{2}$
journal, January 1996

Abe, K.; Akagi, T.; Anthony, P. L.
Physical Review Letters, Vol. 76, Issue 4
DOI: 10.1103/PhysRevLett.76.587

α s and | V cs | determination, and CKM unitarity test, from W decays at NNLO
journal, December 2016

d'Enterria, David; Srebre, Matej
Physics Letters B, Vol. 763
DOI: 10.1016/j.physletb.2016.10.012

Testing QCD with τ decays
journal, September 1992

Le Diberder, F.; Pich, A.
Physics Letters B, Vol. 289, Issue 1-2
DOI: 10.1016/0370-2693(92)91380-R

Gluonic three-point correlations in pure Landau gauge QCD
journal, March 2014

Blum, Adrian Lorenz; Huber, Markus Q.; Mitter, Mario
Physical Review D, Vol. 89, Issue 6
DOI: 10.1103/PhysRevD.89.061703

Ghost-gluon coupling, power corrections, and $Λ_{\bar{MS}}$ from lattice QCD with a dynamical charm
journal, February 2012

Blossier, B.; Boucaud, Ph.; Brinet, M.
Physical Review D, Vol. 85, Issue 3
DOI: 10.1103/PhysRevD.85.034503

Lattice-motivated QCD coupling and hadronic contribution to muon g − 2
journal, April 2021

Cvetič, Gorazd; Kögerler, Reinhart
Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 5
DOI: 10.1088/1361-6471/abd259

Borel representation of τ hadronic spectral function moments in contour-improved perturbation theory
journal, May 2022

Hoang, André H.; Regner, Christoph
Physical Review D, Vol. 105, Issue 9
DOI: 10.1103/PhysRevD.105.096023

Measurement of $$\hbox {t}{\bar{\hbox {t}}}$$ normalised multi-differential cross sections in $${\text {p}}{\text {p}} $$ collisions at $$\sqrt{s}=13\,{\text {TeV}} $$, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions
journal, July 2020

Sirunyan, A. M.; Tumasyan, A.; Adam, W.
The European Physical Journal C, Vol. 80, Issue 7
DOI: 10.1140/epjc/s10052-020-7917-7

Determination of the QCD coupling from the static energy and the free energy
journal, December 2019

Bazavov, Alexei; Brambilla, Nora; Garcia i. Tormo, Xavier
Physical Review D, Vol. 100, Issue 11
DOI: 10.1103/PhysRevD.100.114511

Local gauge transformation for the quark propagator in an SU(N) gauge theory
journal, April 2016

Aslam, M. Jamil; Bashir, A.; Gutiérrez-Guerrero, L. X.
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.076001

Exact Sum Rule for Nucleon Magnetic Moments
journal, May 1966

Drell, S. D.; Hearn, A. C.
Physical Review Letters, Vol. 16, Issue 20
DOI: 10.1103/PhysRevLett.16.908

Deep Inelastic sum Rules at the Boundaries Between Perturbative and Nonperturbative qcd
journal, September 2005

Kataev, A. L.
Modern Physics Letters A, Vol. 20, Issue 27
DOI: 10.1142/S0217732305018165

Hadronic unquenching effects in the quark propagator
journal, November 2007

Fischer, Christian S.; Nickel, Dominik; Wambach, Jochen
Physical Review D, Vol. 76, Issue 9
DOI: 10.1103/PhysRevD.76.094009

Measurements of energy correlations ine + e ??hadrons
journal, September 1984

Bartel, W.; Becker, L.; Bowdery, C.
Zeitschrift f�r Physik C Particles and Fields, Vol. 25, Issue 3
DOI: 10.1007/BF01547922

Infrared Behavior and Fixed Points in Landau-Gauge QCD
journal, October 2004

Pawlowski, Jan M.; Litim, Daniel F.; Nedelko, Sergei
Physical Review Letters, Vol. 93, Issue 15
DOI: 10.1103/PhysRevLett.93.152002

Energy–energy correlation in electron–positron annihilation at NNLL + NNLO accuracy
journal, November 2017

Tulipánt, Zoltán; Kardos, Adam; Somogyi, Gábor
The European Physical Journal C, Vol. 77, Issue 11
DOI: 10.1140/epjc/s10052-017-5320-9

Measurement of the neutron spin structure function gn2 and asymmetry An2
journal, July 1997

Abe, K.; Akagi, T.; Anderson, B. D.
Physics Letters B, Vol. 404, Issue 3-4
DOI: 10.1016/S0370-2693(97)00613-8

Ward identities in gauge theories
journal, February 1972

Slavnov, A. A.
Theoretical and Mathematical Physics, Vol. 10, Issue 2
DOI: 10.1007/BF01090719

Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
journal, July 2012

Brodsky, Stanley J.; Wu, Xing-Gang
Physical Review Letters, Vol. 109, Issue 4
DOI: 10.1103/PhysRevLett.109.042002

The renormalization group and the ε expansion
journal, August 1974

Wilson, K.
Physics Reports, Vol. 12, Issue 2
DOI: 10.1016/0370-1573(74)90023-4

Threefold complementary approach to holographic QCD
journal, February 2014

Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter
Physics Letters B, Vol. 729
DOI: 10.1016/j.physletb.2013.12.044

Infrared exponent for gluon and ghost propagation in Landau gauge QCD
journal, June 2002

Lerche, Christoph; von Smekal, Lorenz
Physical Review D, Vol. 65, Issue 12
DOI: 10.1103/PhysRevD.65.125006

Dyson–Schwinger Equations: A Tool for Hadron Physics
journal, June 2003

Maris, Pieter; Roberts, Craig D.
International Journal of Modern Physics E, Vol. 12, Issue 03
DOI: 10.1142/S0218301303001326

Vortex structures in pureSU(3)lattice gauge theory
journal, January 2004

Langfeld, Kurt
Physical Review D, Vol. 69, Issue 1
DOI: 10.1103/PhysRevD.69.014503

Confinement contains condensates
journal, June 2012

Brodsky, Stanley J.; Roberts, Craig D.; Shrock, Robert
Physical Review C, Vol. 85, Issue 6
DOI: 10.1103/PhysRevC.85.065202

Mesons in a relativized quark model with chromodynamics
journal, July 1985

Godfrey, Stephen; Isgur, Nathan
Physical Review D, Vol. 32, Issue 1
DOI: 10.1103/PhysRevD.32.189

Renormalization group improved perturbative QCD
journal, September 1980

Grunberg, G.
Physics Letters B, Vol. 95, Issue 1
DOI: 10.1016/0370-2693(80)90402-5

Measurement of $α_{s} (Q^{2})$ from the Gross–Llewellyn Smith Sum Rule
journal, October 1998

Kim, J. H.; Harris, D. A.; Arroyo, C. G.
Physical Review Letters, Vol. 81, Issue 17
DOI: 10.1103/PhysRevLett.81.3595

Indirect determination of the Kugo-Ojima function from lattice data
journal, November 2009

Aguilar, A. C.; Binosi, D.; Papavassiliou, J.
Journal of High Energy Physics, Vol. 2009, Issue 11
DOI: 10.1088/1126-6708/2009/11/066

Semileptonic transitions: B() → π(K); D → K; D → π,K; and K → π
journal, January 2022

Yao, Zhao-Qian; Binosi, Daniele; Cui, Zhu-Fang
Physics Letters B, Vol. 824
DOI: 10.1016/j.physletb.2021.136793

Symmetry preserving truncations of the gap and Bethe-Salpeter equations
journal, May 2016

Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis
Physical Review D, Vol. 93, Issue 9
DOI: 10.1103/PhysRevD.93.096010

Spectral functions of confined particles
journal, February 2020

Binosi, Daniele; Tripolt, Ralf-Arno
Physics Letters B, Vol. 801
DOI: 10.1016/j.physletb.2019.135171

The Nf=0 heavy quark potential from short to intermediate distances
journal, February 2002

Necco, Silvia; Sommer, Rainer
Nuclear Physics B, Vol. 622, Issue 1-2
DOI: 10.1016/S0550-3213(01)00582-X

Preliminary Calculation of α _S from Green Functions with Dynamical Quarks
journal, January 2002

Boucaud, Philippe; Leroy, Jean Pierre; Micheli, Jacques
Journal of High Energy Physics, Vol. 2002, Issue 01
DOI: 10.1088/1126-6708/2002/01/046

On the interface between perturbative and nonperturbative QCD
journal, June 2016

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
Physics Letters B, Vol. 757
DOI: 10.1016/j.physletb.2016.03.077

Determination of $Λ_{\bar{MS}}^{(n_{f} = 2)}$ and analytic parametrization of the static quark-antiquark potential
journal, December 2018

Karbstein, Felix; Wagner, Marc; Weber, Michelle
Physical Review D, Vol. 98, Issue 11
DOI: 10.1103/PhysRevD.98.114506

Probing an intrinsically flavorful ALP via tau-lepton flavor physics
journal, May 2022

Cui, Chuan-Xin; Ishida, Hiroyuki; Matsuzaki, Shinya
Physical Review D, Vol. 105, Issue 9
DOI: 10.1103/PhysRevD.105.095033

The next-next-to-leading QCD approximation for non-singlet moments of deep inelastic structure functions
journal, September 1994

Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A. M.
Nuclear Physics B, Vol. 427, Issue 1-2
DOI: 10.1016/0550-3213(94)90268-2

Computation of the running coupling in the SU(2) Yang-Mills theory
journal, January 1993

Lüscher, Martin; Sommer, Rainer; Wolff, Ulli
Nuclear Physics B, Vol. 389, Issue 1
DOI: 10.1016/0550-3213(93)90292-W

The theory of quark confinement
journal, August 1999

Gribov, Vladimir
The European Physical Journal C, Vol. 10, Issue 1
DOI: 10.1007/s100529900052

Strings, monopoles, and gauge fields
journal, December 1974

Nambu, Y.
Physical Review D, Vol. 10, Issue 12
DOI: 10.1103/PhysRevD.10.4262

Further evidence for zero crossing on the three gluon vertex
journal, October 2016

Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J.
Physical Review D, Vol. 94, Issue 7
DOI: 10.1103/PhysRevD.94.074502

Three-loop beta function and non-perturbative α _s in asymmetric momentum scheme
journal, December 1998

Boucaud, Philippe; Leroy, Jean-Pierre; Micheli, Jacques
Journal of High Energy Physics, Vol. 1998, Issue 12
DOI: 10.1088/1126-6708/1998/12/004

Running coupling in Yang-Mills theory: A flow equation study
journal, July 2002

Gies, Holger
Physical Review D, Vol. 66, Issue 2
DOI: 10.1103/PhysRevD.66.025006

FLAG Review 2021
journal, October 2022

Aoki, Y.; Blum, T.; Colangelo, G.
The European Physical Journal C, Vol. 82, Issue 10
DOI: 10.1140/epjc/s10052-022-10536-1

Feasibility Studies for Single Transverse-Spin Asymmetry Measurements at a Fixed-Target Experiment Using the LHC Proton and Lead Beams (AFTER@LHC)
journal, May 2017

Kikoła, Daniel; Echevarria, Miguel García; Hadjidakis, Cynthia
Few-Body Systems, Vol. 58, Issue 4
DOI: 10.1007/s00601-017-1299-x

Measurement of $α_{s}$ ( $M_{Z}^{2}$ ) from hadronic event observables at the $Z^{0}$ resonance
journal, February 1995

Abe, K.; Abt, I.; Ahn, C. J.
Physical Review D, Vol. 51, Issue 3
DOI: 10.1103/PhysRevD.51.962

Two-loop diagrams in Yang-Mills theory
journal, June 1974

Jones, D. R. T.
Nuclear Physics B, Vol. 75, Issue 3
DOI: 10.1016/0550-3213(74)90093-5

Non-perturbative power corrections to ghost and gluon propagators
journal, January 2006

Boucaud, Philippe; Leroy, Jean-Pierre; Yaouanc, Alain Le
Journal of High Energy Physics, Vol. 2006, Issue 01
DOI: 10.1088/1126-6708/2006/01/037

Probing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants
journal, February 2023

Boito, D.; Cucchieri, A.; London, C. Y.
Journal of High Energy Physics, Vol. 2023, Issue 2
DOI: 10.1007/JHEP02(2023)144

Perturbative expansion of τ hadronic spectral function moments and α s extractions
journal, January 2013

Beneke, Martin; Boito, Diogo; Jamin, Matthias
Journal of High Energy Physics, Vol. 2013, Issue 1
DOI: 10.1007/JHEP01(2013)125

On the difficulty of computing higher-twist corrections
journal, November 1996

Martinelli, G.; Sachrajda, C. T.
Nuclear Physics B, Vol. 478, Issue 3
DOI: 10.1016/0550-3213(96)00415-4

Applications of the Chiral $U (6) \otimes U (6)$ Algebra of Current Densities
journal, August 1966

Bjorken, J. D.
Physical Review, Vol. 148, Issue 4
DOI: 10.1103/PhysRev.148.1467

Which gauges are ghost-free?
journal, February 1980

Konetschny, W.
Physics Letters B, Vol. 90, Issue 3
DOI: 10.1016/0370-2693(80)90737-6

Running coupling constant of ten-flavor QCD with the Schrödinger functional method
journal, April 2011

Hayakawa, M.; Ishikawa, K. -I.; Osaki, Y.
Physical Review D, Vol. 83, Issue 7
DOI: 10.1103/PhysRevD.83.074509

Generalized Gerasimov-Drell-Hearn sum rule for the proton-neutron difference in chiral perturbation theory
journal, April 2001

Burkert, Volker D.
Physical Review D, Vol. 63, Issue 9
DOI: 10.1103/PhysRevD.63.097904

Generalized sum rules for spin-dependent structure functions of the nucleon
journal, December 2000

Ji, Xiangdong; Osborne, Jonathan
Journal of Physics G: Nuclear and Particle Physics, Vol. 27, Issue 1, p. 127-146
DOI: 10.1088/0954-3899/27/1/308

On the IR behaviour of the Landau-gauge ghost propagator
journal, June 2008

Boucaud, Ph; Leroy, J. P.; Yaouanc, A. Le
Journal of High Energy Physics, Vol. 2008, Issue 06
DOI: 10.1088/1126-6708/2008/06/099

Nonperturbative QCD, Gauge-Fixing, Gribov Copies and the Lattice
journal, January 2003

Williams, Anthony G.
Progress of Theoretical Physics Supplement, Vol. 151
DOI: 10.1143/PTPS.151.154

A study of energy-energy correlations ine + e ? annihilations at $$\sqrt s = 34.6$$ GeV
journal, September 1985

, ; Berger, Ch.; Genzel, H.
Zeitschrift f�r Physik C Particles and Fields, Vol. 28, Issue 3
DOI: 10.1007/BF01413599

Testing the Landau gauge operator product expansion on the lattice with a $〈 A^{2} 〉$ condensate
journal, April 2001

Boucaud, Ph.; Yaouanc, A. Le; Leroy, J. P.
Physical Review D, Vol. 63, Issue 11
DOI: 10.1103/PhysRevD.63.114003

Structure of the neutral pion and its electromagnetic transition form factor
journal, April 2016

Raya, Khépani; Chang, Lei; Bashir, Adnan
Physical Review D, Vol. 93, Issue 7
DOI: 10.1103/PhysRevD.93.074017

The running coupling from lattice gauge theory
journal, June 1992

Michael, C.
Physics Letters B, Vol. 283, Issue 1-2
DOI: 10.1016/0370-2693(92)91435-C

Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD
journal, May 2013

Mojaza, Matin; Brodsky, Stanley J.; Wu, Xing-Gang
Physical Review Letters, Vol. 110, Issue 19
DOI: 10.1103/PhysRevLett.110.192001

Fourth-order QCD renormalization group quantities in the $V$ scheme and the relation of the $β$ function to the Gell-Mann–Low function in QED
journal, September 2015

Kataev, A. L.; Molokoedov, V. S.
Physical Review D, Vol. 92, Issue 5
DOI: 10.1103/PhysRevD.92.054008

Über Eigenschaften von Ausbreitungsfunktionen und Renormierungskonstanten quantisierter Felder
journal, April 1954

Lehmann, H.
Il Nuovo Cimento, Vol. 11, Issue 4
DOI: 10.1007/BF02783624

Two-loop corrections to the QCD propagators within the Curci-Ferrari model
journal, November 2021

Barrios, Nahuel; Gracey, John A.; Peláez, Marcela
Physical Review D, Vol. 104, Issue 9
DOI: 10.1103/PhysRevD.104.094019

Determination of α(Mz) from an hyperasymptotic approximation to the energy of a static quark-antiquark pair
journal, September 2020

Ayala, Cesar; Lobregat, Xabier; Pineda, Antonio
Journal of High Energy Physics, Vol. 2020, Issue 9
DOI: 10.1007/JHEP09(2020)016

RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000

Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M.
Computer Physics Communications, Vol. 133, Issue 1
DOI: 10.1016/S0010-4655(00)00155-7

Asymptotic freedom in parton language
journal, August 1977

Altarelli, G.; Parisi, G.
Nuclear Physics B, Vol. 126, Issue 2
DOI: 10.1016/0550-3213(77)90384-4

The quark-gluon vertex in Landau gauge bound-state studies
journal, May 2015

Williams, Richard
The European Physical Journal A, Vol. 51, Issue 5
DOI: 10.1140/epja/i2015-15057-4

Measurements of αs in e+e− annihilation at √s=53.3 GeV and 59.5 GeV
journal, August 1989

Adachi, I.; Aihara, H.; Doser, M.
Physics Letters B, Vol. 227, Issue 3-4
DOI: 10.1016/0370-2693(89)90969-6

Exposing strangeness: Projections for kaon electromagnetic form factors
journal, August 2017

Gao, Fei; Chang, Lei; Liu, Yu-Xin
Physical Review D, Vol. 96, Issue 3
DOI: 10.1103/PhysRevD.96.034024

Strong coupling constant and quark masses from lattice QCD
journal, July 2020

Komijani, Javad; Petreczky, Peter; Weber, Johannes Heinrich
Progress in Particle and Nuclear Physics, Vol. 113
DOI: 10.1016/j.ppnp.2020.103788

Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980

Efremov, A. V.; Radyushkin, A. V.
Physics Letters B, Vol. 94, Issue 2
DOI: 10.1016/0370-2693(80)90869-2

Strong coupling from non-equilibrium Monte Carlo simulations
journal, July 2020

Francesconi, Olmo; Panero, Marco; Preti, David
Journal of High Energy Physics, Vol. 2020, Issue 7
DOI: 10.1007/JHEP07(2020)233

Revealing the structure of light pseudoscalar mesons at the electron–ion collider
journal, May 2021

Arrington, J.; Gayoso, C. Ayerbe; Barry, P. C.
Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 7
DOI: 10.1088/1361-6471/abf5c3

Origin of the Proton Mass
journal, January 2023

Roberts, Craig D.
EPJ Web of Conferences, Vol. 282
DOI: 10.1051/epjconf/202328201006

Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region
journal, January 2017

Sufian, Raza Sabbir; de Téramond, Guy F.; Brodsky, Stanley J.
Physical Review D, Vol. 95, Issue 1
DOI: 10.1103/PhysRevD.95.014011

Gerasimov-Drell-Hearn sum rule and related integrals
journal, April 2001

Drechsel, D.; Kamalov, S. S.; Tiator, L.
Physical Review D, Vol. 63, Issue 11
DOI: 10.1103/PhysRevD.63.114010

$γ^{*} γ \to η, η^{'}$ transition form factors
journal, January 2019

Ding, Minghui; Raya, Khépani; Bashir, Adnan
Physical Review D, Vol. 99, Issue 1
DOI: 10.1103/PhysRevD.99.014014

The three-loop relation between the and the pole quark masses
journal, June 2000

Melnikov, Kirill; Ritbergen, Timo van
Physics Letters B, Vol. 482, Issue 1-3
DOI: 10.1016/S0370-2693(00)00507-4

Dynamical chiral symmetry breaking, Goldstone’s theorem, and the consistency of the Schwinger-Dyson and Bethe-Salpeter equations
journal, October 1995

Munczek, H. J.
Physical Review D, Vol. 52, Issue 8
DOI: 10.1103/PhysRevD.52.4736

Process-independent strong running coupling
journal, September 2017

Binosi, Daniele; Mezrag, Cédric; Papavassiliou, Joannis
Physical Review D, Vol. 96, Issue 5
DOI: 10.1103/PhysRevD.96.054026

Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
journal, March 2015

Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis
Physics Letters B, Vol. 742
DOI: 10.1016/j.physletb.2015.01.031

Small parameters in infrared quantum chromodynamics
journal, December 2017

Peláez, Marcela; Reinosa, Urko; Serreau, Julien
Physical Review D, Vol. 96, Issue 11
DOI: 10.1103/PhysRevD.96.114011

Kaon and pion parton distributions
journal, November 2020

Cui, Z. -F.; Ding, M.; Gao, F.
The European Physical Journal C, Vol. 80, Issue 11
DOI: 10.1140/epjc/s10052-020-08578-4

Screened massive expansion of the quark propagator in the Landau gauge
journal, October 2021

Comitini, Giorgio; Rizzo, Daniele; Battello, Massimiliano
Physical Review D, Vol. 104, Issue 7
DOI: 10.1103/PhysRevD.104.074020

Infrared facets of the three-gluon vertex
journal, July 2021

Aguilar, A. C.; De Soto, F.; Ferreira, M. N.
Physics Letters B, Vol. 818
DOI: 10.1016/j.physletb.2021.136352

Analytical approximations for real values of the Lambert W-function
journal, August 2000

Barry, D. A.; Parlange, J. -Y; Li, L.
Mathematics and Computers in Simulation, Vol. 53, Issue 1-2
DOI: 10.1016/S0378-4754(00)00172-5

Electron-ion collider in China
journal, June 2021

Anderle, Daniele P.; Bertone, Valerio; Cao, Xu
Frontiers of Physics, Vol. 16, Issue 6
DOI: 10.1007/s11467-021-1062-0

Strong coupling from $e^{+} e^{-} \to hadrons$ below charm
journal, October 2018

Boito, Diogo; Golterman, Maarten; Keshavarzi, Alexander
Physical Review D, Vol. 98, Issue 7
DOI: 10.1103/PhysRevD.98.074030

Second order gluon polarization for SU(N) theory in a linear covariant gauge
journal, October 2015

Siringo, Fabio
Physical Review D, Vol. 92, Issue 7
DOI: 10.1103/PhysRevD.92.074034

Nonperturbative properties of Yang–Mills theories
journal, October 2020

Huber, Markus Q.
Physics Reports, Vol. 879
DOI: 10.1016/j.physrep.2020.04.004

Experimental study of the behavior of the Bjorken sum at very low Q2
journal, February 2022

Deur, A.; Chen, J. P.; Kuhn, S. E.
Physics Letters B, Vol. 825
DOI: 10.1016/j.physletb.2022.136878

Dual-symmetric theory of hadrons.—I
journal, October 1970

Susskind, L.
Il Nuovo Cimento A Series 10, Vol. 69, Issue 3
DOI: 10.1007/BF02726485

Perturbative QCD corrections to the ratio R for τ decay
journal, March 1989

Braaten, Eric
Physical Review D, Vol. 39, Issue 5
DOI: 10.1103/PhysRevD.39.1458

Covariant quantization of gauge fields without Gribov ambiguity
journal, November 1981

Zwanziger, Daniel
Nuclear Physics B, Vol. 192, Issue 1
DOI: 10.1016/0550-3213(81)90202-9

Dual-symmetric theory of hadrons: II.—Baryons
journal, October 1970

Frye, G.; Lee, C. W.; Susskind, L.
Il Nuovo Cimento A Series 10, Vol. 69, Issue 3
DOI: 10.1007/BF02726486

On a class of Lagrangian models for massive and massless Yang-mills fields
journal, March 1976

Curci, G.; Ferrari, R.
Il Nuovo Cimento A, Vol. 32, Issue 2
DOI: 10.1007/BF02729999

Measurement of the proton and deuteron spin structure functions g2 and asymmetry A2
journal, July 1999

Anthony, P. L.; Arnold, R. G.; Averett, T.
Physics Letters B, Vol. 458, Issue 4
DOI: 10.1016/S0370-2693(99)00590-0

Problems on Lattice Gauge Fixing
journal, August 2001

Giusti, L.; Paciello, M. L.; Petrarca, S.
International Journal of Modern Physics A, Vol. 16, Issue 21
DOI: 10.1142/S0217751X01004281

Exact N3LO results for qq′ → H + X
journal, July 2015

Anzai, Chihaya; Hasselhuhn, Alexander; Höschele, Maik
Journal of High Energy Physics, Vol. 2015, Issue 7
DOI: 10.1007/JHEP07(2015)140

The running coupling of QCD with four flavors
journal, November 2010

Tekin, Fatih; Sommer, Rainer; Wolff, Ulli
Nuclear Physics B, Vol. 840, Issue 1-2
DOI: 10.1016/j.nuclphysb.2010.07.002

Can the QCD running coupling have a causal analyticity structure?
journal, July 1998

Gardi, Einan; Karliner, Marek; Grunberg, Georges
Journal of High Energy Physics, Vol. 1998, Issue 07
DOI: 10.1088/1126-6708/1998/07/007

Strong coupling from hadronic $τ$ decays: A critical appraisal
journal, February 2017

Boito, Diogo; Golterman, Maarten; Maltman, Kim
Physical Review D, Vol. 95, Issue 3
DOI: 10.1103/PhysRevD.95.034024

The deuteron spin-dependent structure function <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>g</mml:mi><mml:mn>1</mml:mn><mml:mi>d</mml:mi></mml:msubsup></mml:math> and its first moment
journal, March 2007

Alexakhin, V. Yu.; Alexandrov, Yu.; Alexeev, G. D.
Physics Letters B, Vol. 647, Issue 1
DOI: 10.1016/j.physletb.2006.12.076

Towards the five-loop Beta function for a general gauge group
journal, July 2016

Luthe, Thomas; Maier, Andreas; Marquard, Peter
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)127

Five-Loop Running of the QCD Coupling Constant
journal, February 2017

Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.
Physical Review Letters, Vol. 118, Issue 8
DOI: 10.1103/PhysRevLett.118.082002

First results on the running coupling in QCD with two massless flavours
journal, August 2001

Bode, Achim; Frezzotti, Roberto; Gehrmann, Bernd
Physics Letters B, Vol. 515, Issue 1-2
DOI: 10.1016/S0370-2693(01)00857-7

Ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
journal, December 2020

Barrios, Nahuel; Peláez, Marcela; Reinosa, Urko
Physical Review D, Vol. 102, Issue 11
DOI: 10.1103/PhysRevD.102.114016

Hamiltonian formulation of Wilson's lattice gauge theories
journal, January 1975

Kogut, John; Susskind, Leonard
Physical Review D, Vol. 11, Issue 2
DOI: 10.1103/PhysRevD.11.395

A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge
journal, July 1998

von Smekal, Lorenz; Hauck, Andreas; Alkofer, Reinhard
Annals of Physics, Vol. 267, Issue 1
DOI: 10.1006/aphy.1998.5806

An Identity in Quantum Electrodynamics
journal, April 1950

Ward, J. C.
Physical Review, Vol. 78, Issue 2
DOI: 10.1103/PhysRev.78.182

A no-go theorem for regularizing chiral fermions
journal, October 1981

Nielsen, H. B.; Ninomiya, M.
Physics Letters B, Vol. 105, Issue 2-3
DOI: 10.1016/0370-2693(81)91026-1

Local and renormalizable action from the gribov horizon
journal, September 1989

Zwanziger, Daniel
Nuclear Physics B, Vol. 323, Issue 3
DOI: 10.1016/0550-3213(89)90122-3

REvolver: Automated running and matching of couplings and masses in QCD
journal, January 2022

Hoang, André H.; Lepenik, Christopher; Mateu, Vicent
Computer Physics Communications, Vol. 270
DOI: 10.1016/j.cpc.2021.108145

Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme
journal, September 1997

Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M.
Physical Review Letters, Vol. 79, Issue 12
DOI: 10.1103/PhysRevLett.79.2184

A method for getting a finite $$\alpha $$ α in the IR region from an all-order beta function
journal, November 2017

Zheng, Zhi-Yuan; Zhou, Gao-Liang
The European Physical Journal C, Vol. 77, Issue 11
DOI: 10.1140/epjc/s10052-017-5384-6

Measurement of the triple-differential dijet cross section in proton-proton collisions at $$\sqrt{s}=8\,\text {TeV} $$ s = 8 TeV and constraints on parton distribution functions
journal, November 2017

Sirunyan, A. M.; Tumasyan, A.; Adam, W.
The European Physical Journal C, Vol. 77, Issue 11
DOI: 10.1140/epjc/s10052-017-5286-7

A determination of? s( $$M_{Z^0 } $$ ) at LEP using resummed QCD calculations
journal, March 1993

Acton, P. D.; Alexander, G.; Allison, J.
Zeitschrift f�r Physik C: Particles and Fields, Vol. 59, Issue 1
DOI: 10.1007/BF01555834

Precision Measurement of the Proton Spin Structure Function $g_{1}^{p}$
journal, January 1995

Abe, K.; Akagi, T.; Anthony, P. L.
Physical Review Letters, Vol. 74, Issue 3
DOI: 10.1103/PhysRevLett.74.346

Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass
journal, December 2018

Boucaud, Ph.; De Soto, F.; Raya, K.
Physical Review D, Vol. 98, Issue 11
DOI: 10.1103/PhysRevD.98.114515

Nucleon axial form factor at large momentum transfers
journal, October 2022

Chen, Chen; Roberts, Craig D.
The European Physical Journal A, Vol. 58, Issue 10
DOI: 10.1140/epja/s10050-022-00848-x

Colloquium : Roper resonance: Toward a solution to the fifty year puzzle
journal, March 2019

Burkert, Volker D.; Roberts, Craig D.
Reviews of Modern Physics, Vol. 91, Issue 1
DOI: 10.1103/RevModPhys.91.011003

The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD
journal, December 2017

Boyle, P. A.; Del Debbio, L.; Jüttner, A.
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/JHEP12(2017)008

Pinch technique: Theory and applications
journal, August 2009

Binosi, Daniele; Papavassiliou, Joannis
Physics Reports, Vol. 479, Issue 1-6
DOI: 10.1016/j.physrep.2009.05.001

Precision Determination of the Neutron Spin Structure Function $g_{1}^{n}$
journal, July 1997

Abe, K.; Akagi, T.; Anderson, B. D.
Physical Review Letters, Vol. 79, Issue 1
DOI: 10.1103/PhysRevLett.79.26

Schwinger mechanism for gluons from lattice QCD
journal, June 2023

Aguilar, A. C.; De Soto, F.; Ferreira, M. N.
Physics Letters B, Vol. 841
DOI: 10.1016/j.physletb.2023.137906

On the Invariant Regularization in Relativistic Quantum Theory
journal, July 1949

Pauli, W.; Villars, F.
Reviews of Modern Physics, Vol. 21, Issue 3
DOI: 10.1103/RevModPhys.21.434

The three-loop QCD β-function and anomalous dimensions
journal, April 1993

Larin, S. A.; Vermaseren, J. A. M.
Physics Letters B, Vol. 303, Issue 3-4
DOI: 10.1016/0370-2693(93)91441-O

Experimental determination of the effective strong coupling constant
journal, July 2007

Deur, A.; Burkert, V.; Chen, J. P.
Physics Letters B, Vol. 650, Issue 4
DOI: 10.1016/j.physletb.2007.05.015

Accurate Determinations of $α_{s}$ from Realistic Lattice QCD
journal, July 2005

Mason, Q.; Trottier, H. D.; Davies, C. T. H.
Physical Review Letters, Vol. 95, Issue 5
DOI: 10.1103/PhysRevLett.95.052002

Reconciling the contour-improved and fixed-order approaches for τ hadronic spectral moments. Part I. Renormalon-free gluon condensate scheme
journal, July 2022

Benitez-Rathgeb, Miguel A.; Boito, Diogo; Hoang, André H.
Journal of High Energy Physics, Vol. 2022, Issue 7
DOI: 10.1007/JHEP07(2022)016

Quantum Electrodynamics at Small Distances
journal, September 1954

Gell-Mann, M.; Low, F. E.
Physical Review, Vol. 95, Issue 5
DOI: 10.1103/PhysRev.95.1300

NLO PDFs from the ABMP16 fit
journal, June 2018

Alekhin, S.; Blümlein, J.; Moch, S.
The European Physical Journal C, Vol. 78, Issue 6
DOI: 10.1140/epjc/s10052-018-5947-1

High precision determination of the $Q^{2}$ evolution of the Bjorken sum
journal, July 2014

Deur, A.; Prok, Y.; Burkert, V.
Physical Review D, Vol. 90, Issue 1
DOI: 10.1103/PhysRevD.90.012009

The 3-loop QCD calculation of the moments of deep inelastic structure functions
journal, May 1997

Larin, S. A.; Nogueira, P.; van Ritbergen, T.
Nuclear Physics B, Vol. 492, Issue 1-2
DOI: 10.1016/S0550-3213(97)80038-7

Toward TeV Conformality
journal, February 2010

Appelquist, T.; Avakian, A.; Babich, R.
Physical Review Letters, Vol. 104, Issue 7
DOI: 10.1103/PhysRevLett.104.071601

From spectroscopy to the strong coupling constant with heavy Wilson quarks
journal, July 1995

Wingate, Matthew; DeGrand, Thomas; Collins, Sara
Physical Review D, Vol. 52, Issue 1
DOI: 10.1103/PhysRevD.52.307

Broken Scale Invariance in Scalar Field Theory
journal, October 1970

Callan, Curtis G.
Physical Review D, Vol. 2, Issue 8
DOI: 10.1103/PhysRevD.2.1541

Measurement of the deuteron spin structure function g1d(x) for 1 (GeV/c)2<Q2<40 (GeV/c)2
journal, September 1999

Anthony, P. L.; Arnold, R. G.; Averett, T.
Physics Letters B, Vol. 463, Issue 2-4
DOI: 10.1016/S0370-2693(99)00940-5

The gradient flow coupling at high-energy and the scale of SU(3) Yang–Mills theory
journal, August 2019

Dalla Brida, Mattia; Ramos, Alberto
The European Physical Journal C, Vol. 79, Issue 8
DOI: 10.1140/epjc/s10052-019-7228-z

A window on infrared QCD with small expansion parameters
journal, December 2021

Peláez, Marcela; Reinosa, Urko; Serreau, Julien
Reports on Progress in Physics, Vol. 84, Issue 12
DOI: 10.1088/1361-6633/ac36b8

Unified Description of Polarized and Unpolarized Quark Distributions in the Proton
journal, February 2020

Liu, Tianbo; Sufian, Raza Sabbir; de Téramond, Guy F.
Physical Review Letters, Vol. 124, Issue 8
DOI: 10.1103/PhysRevLett.124.082003

The static potential in QCD — a full two-loop calculation
journal, September 1997

Peter, Markus
Nuclear Physics B, Vol. 501, Issue 2
DOI: 10.1016/S0550-3213(97)00373-8

Strong coupling constant from moments of quarkonium correlators revisited
journal, January 2022

Petreczky, Peter; Weber, Johannes Heinrich
The European Physical Journal C, Vol. 82, Issue 1
DOI: 10.1140/epjc/s10052-022-09998-0

Precise determination of αs from relativistic quarkonium sum rules
journal, March 2020

Boito, Diogo; Mateu, Vicent
Journal of High Energy Physics, Vol. 2020, Issue 3
DOI: 10.1007/JHEP03(2020)094

Chiral symmetry breaking in continuum QCD
journal, March 2015

Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils
Physical Review D, Vol. 91, Issue 5
DOI: 10.1103/PhysRevD.91.054035

Strong coupling constant from Adler function in lattice QCD
journal, October 2016

Hudspith, Renwick J.; Lewis, Randy; Maltman, Kim
Modern Physics Letters A, Vol. 31, Issue 32
DOI: 10.1142/S0217732316300378

Insights into the emergence of mass from studies of pion and kaon structure
journal, September 2021

Roberts, Craig D.; Richards, David G.; Horn, Tanja
Progress in Particle and Nuclear Physics, Vol. 120
DOI: 10.1016/j.ppnp.2021.103883

Harmonic-Oscillator Analogy for the Veneziano Model
journal, September 1969

Susskind, Leonard
Physical Review Letters, Vol. 23, Issue 10
DOI: 10.1103/PhysRevLett.23.545

Dyson-Schwinger equations and their application to hadronic physics
journal, January 1994

Roberts, Craig D.; Williams, Anthony G.
Progress in Particle and Nuclear Physics, Vol. 33
DOI: 10.1016/0146-6410(94)90049-3

Violations of quark-hadron duality in low-energy determinations of αs
journal, July 2022

Pich, Antonio; Rodríguez-Sánchez, Antonio
Journal of High Energy Physics, Vol. 2022, Issue 7
DOI: 10.1007/JHEP07(2022)145

One-loop unquenched three-gluon and ghost-gluon vertices in the Curci-Ferrari model
journal, May 2022

Figueroa, Felipe; Peláez, Marcela
Physical Review D, Vol. 105, Issue 9
DOI: 10.1103/PhysRevD.105.094005

Observation of string breaking in QCD
journal, June 2005

Bali, Gunnar S.; Neff, Hartmut; Düssel, Thomas
Physical Review D, Vol. 71, Issue 11
DOI: 10.1103/PhysRevD.71.114513

A Dyson–Schwinger study of the four-gluon vertex
journal, March 2015

Cyrol, Anton K.; Huber, Markus Q.; Smekal, Lorenz von
The European Physical Journal C, Vol. 75, Issue 3
DOI: 10.1140/epjc/s10052-015-3312-1

αs from the non-perturbatively renormalised lattice three-gluon vertex
journal, September 1997

Allés, B.; Henty, D. S.; Panagopoulos, H.
Nuclear Physics B, Vol. 502, Issue 1-2
DOI: 10.1016/S0550-3213(97)00483-5

Similar Records in DOE PAGES and OSTI.GOV collections:

The QCD running coupling

Journal Article Deur, Alexandre ; Brodsky, Stanley J. ; de Téramond, Guy F. - Progress in Particle and Nuclear Physics

Here, we review present knowledge onmore »« less
Cited by 196
https://doi.org/10.1016/j.ppnp.2016.04.003

Full Text Available
Light-Front Holographic QCD

Conference Brodsky, Stanley J ; /SLAC /Southern Denmark U., CP3-Origins ; de Teramond, Guy F ; ...

The relation between the hadronic short-distance constituent quark and gluon particle limit and the long-range confining domain is yet one of the most challenging aspects of particle physics due to the strong coupling nature of Quantum Chromodynamics, the fundamental theory of the strong interactions. The central question is how one can compute hadronic properties from first principles; i.e., directly from the QCD Lagrangian. The most successful theoretical approach thus far has been to quantize QCD on discrete lattices in Euclidean space-time. Lattice numerical results follow from computation of frame-dependent moments of distributions in Euclidean space and dynamical observables in Minkowskimore »« less
Full Text Available
Nucleon Resonance Electroexcitation Amplitudes and Emergent Hadron Mass

Journal Article Carman, Daniel S. ; Gothe, Ralf W. ; Mokeev, Victor I. ; ... - Particles

Understanding the strong interaction dynamics that govern the emergence of hadron mass (EHM) represents a challenging open problem in the Standard Model. In this paper we describe new opportunities for gaining insight into EHM from results on nucleon resonance (N*) electroexcitation amplitudes (i.e., γ_vpN* electrocouplings) in the mass range up to 1.8 GeV for virtual photon four-momentum squared (i.e., photon virtualities Q²) up to 7.5 GeV² available from exclusive meson electroproduction data acquired during the 6-GeV era of experiments at Jefferson Laboratory (JLab). These results, combined with achievements in the use of continuum Schwinger function methods (CSMs), offer new opportunitiesmore »« less
https://doi.org/10.3390/particles6010023
Advances in Light-Front QCD: Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra

Journal Article Brodsky, Stanley J. - Few-Body Systems

A remarkable feature of QCD is that the mass scalemore »« less
Cited by 1
https://doi.org/10.1007/s00601-017-1292-4

Full Text Available
New Insights into Color Confinement, Hadron Dynamics, Spectroscopy, and Jet Hadronization from Light-Front Holography and Superconformal Algebra

Journal Article Brodsky, S. J. - Russian Physics Journal

A fundamental problem in hadron physics is to obtain a relativistic color-confining, first approximation to QCD which can predict both hadron spectroscopy and the frame-independent light-front (LF) wavefunctions underlying hadron dynamics. The QCD Lagrangian with zero quark mass has no explicit mass scale; the classical theory is conformally invariant. Thus, a fundamental problem is to understand how the mass gap and ratios of masses – such as mρ/mp – can arise in chiral QCD. De Alfaro, Fubini, and Furlan have made an important observation that a mass scale can appear in the equations of motion without affecting the conformal invariance of the action if one adds a term to the Hamiltonian proportional to the dilatation operator or the special conformal operator and rescales the time variable. If one applies the same procedure to the light-front Hamiltonian, it leads uniquely to a confinement potential κ⁴ζ² for mesons, where ζ² is the LF radial variable conjugate to themore »« less
Cited by 2
https://doi.org/10.1007/s11182-017-1089-4

Full Text Available

Similar Records

This content will become publicly available on Thu Oct 10 00:00:00 EDT 2024

Title: QCD running couplings and effective charges

Abstract

Citation Formats

On the zero crossing of the three-gluon vertex journal, October 2016

Static Quark-Antiquark Potential in QCD to Three Loops journal, January 1997

Nonperturbative study of the four gluon vertex journal, September 2014

The Infrared Behaviour of the Pure Yang–Mills Green Functions journal, January 2012

QCD analysis of the tau hadronic width journal, April 1992

Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory journal, July 2021

Properties of Regge trajectories journal, June 2000

Spectrum of Charmed Quark-Antiquark Bound States journal, February 1975

Conformal invariance in quantum mechanics journal, August 1976

Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD journal, May 2003

Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus journal, December 1983

Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations journal, January 2014

Impressions of the Continuum Bound State Problem in QCD journal, December 2020

Charmonium: The model journal, June 1978

Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior journal, November 1971

Gluon condensates and effective gluon mass journal, August 2022

Detailed analysis of the three-quark potential in SU(3) lattice QCD journal, June 2002

Universality of Generalized Parton Distributions in Light-Front Holographic QCD journal, May 2018

Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory journal, July 2008

Static QCD potential in coordinate space with quark masses through two loops journal, September 2000

The large $N$ limit of superconformal field theories and supergravity journal, January 1998

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering journal, October 1970

Precision physics with inclusive QCD processes journal, March 2021

Chiral Dynamics in Nucleons and Nuclei journal, June 1995

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front journal, March 2013

High-Precision Lattice QCD Confronts Experiment journal, January 2004

Parton distributions of light quarks and antiquarks in the proton journal, June 2022

Renormalization flow of bound states journal, February 2002

High precision determination of αs from a global fit of jet rates journal, August 2019

Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet journal, January 2002

Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD journal, November 1997

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture journal, November 1971

Quark-antiquark potential in QCD journal, October 1977

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations journal, December 2015

Baryons as relativistic three-quark bound states journal, November 2016

Dynamical fermions, centre vortices, and emergent phenomena journal, January 2022

Fermion interactions and universal behavior in strongly interacting theories journal, January 2012

Deep inelastic electron scattering in perturbation theory journal, November 1971

On the difference between FOPT and CIPT for hadronic tau decays journal, September 2021

Determination of the neutron spin structure function journal, August 1993

Quantization of non-Abelian gauge theories journal, June 1978

Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects journal, July 2016

IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation journal, June 2008

Goldstone theorem and diquark confinement beyond rainbow-ladder approximation journal, July 1996

On the generalized ward identity journal, August 1957

Ghost-gluon running coupling, power corrections, and the determination of Λ MS ¯ journal, January 2009

Computation of the strong coupling in QCD with two dynamical flavors journal, May 2005

Radiative Corrections to Elastic and Inelastic ep and up Scattering journal, January 1969

The strong coupling constant at small momentum as an instanton detector journal, April 2003

Price of Asymptotic Freedom journal, September 1973

QCD forces and heavy quark bound states journal, March 2001

Unified description of seagull cancellations and infrared finiteness of gluon propagators journal, August 2016

Determination of α from static QCD potential with renormalon subtraction journal, February 2019

Version 3 of RunDec and CRunDec journal, March 2018

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory journal, December 2005

Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD journal, July 2018

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography journal, July 2016

The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality journal, September 2019

Determination of the QCD Λ Parameter and the Accuracy of Perturbation Theory at High Energies journal, October 2016

Emergent Hadron Mass in Strong Dynamics journal, April 2022

Concerning pion parton distributions journal, January 2022

A precise determination of αS from lattice QCD journal, February 1995

Spin Sum Rules and the Strong Coupling Constant at large distance conference, January 2009

Slavnov-Taylor identities in Weinberg's renormalization scheme journal, November 1980

Quadratic mass corrections of order to the decay rate of Z- and W-bosons journal, July 1997

Gluon Green functions free of quantum fluctuations journal, September 2016

Massive Yang-Mills model and diffractive scattering journal, February 1999

Observing long color flux tubes in SU(2) lattice gauge theory journal, May 1995

The spin structure of the nucleon journal, June 2019

Muon g − 2 and α ( M Z 2 ) : A new data-based analysis journal, June 2018

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I journal, April 1961

QCD sum rule calculation of twist-3 contributions to polarized nucleon structure functions journal, January 1995

Drawing insights from pion parton distributions journal, March 2020

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes journal, June 2017

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all journal, September 2016

High precision determination of the gluon fusion Higgs boson cross-section at the LHC journal, May 2016

On the zero crossing of the three-gluon vertex
journal, October 2016

Static Quark-Antiquark Potential in QCD to Three Loops
journal, January 1997

Nonperturbative study of the four gluon vertex
journal, September 2014

The Infrared Behaviour of the Pure Yang–Mills Green Functions
journal, January 2012

QCD analysis of the tau hadronic width
journal, April 1992

Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory
journal, July 2021

Properties of Regge trajectories
journal, June 2000

Spectrum of Charmed Quark-Antiquark Bound States
journal, February 1975

Conformal invariance in quantum mechanics
journal, August 1976

Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD
journal, May 2003

Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus
journal, December 1983

Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations
journal, January 2014

Impressions of the Continuum Bound State Problem in QCD
journal, December 2020

Charmonium: The model
journal, June 1978

Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior
journal, November 1971

Gluon condensates and effective gluon mass
journal, August 2022

Detailed analysis of the three-quark potential in SU(3) lattice QCD
journal, June 2002

Universality of Generalized Parton Distributions in Light-Front Holographic QCD
journal, May 2018

Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
journal, July 2008

Static QCD potential in coordinate space with quark masses through two loops
journal, September 2000

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970

Precision physics with inclusive QCD processes
journal, March 2021

Chiral Dynamics in Nucleons and Nuclei
journal, June 1995

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013

High-Precision Lattice QCD Confronts Experiment
journal, January 2004

Parton distributions of light quarks and antiquarks in the proton
journal, June 2022

Renormalization flow of bound states
journal, February 2002

High precision determination of αs from a global fit of jet rates
journal, August 2019

Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
journal, January 2002

Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
journal, November 1997

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
journal, November 1971

Quark-antiquark potential in QCD
journal, October 1977

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations
journal, December 2015

Baryons as relativistic three-quark bound states
journal, November 2016

Dynamical fermions, centre vortices, and emergent phenomena
journal, January 2022

Fermion interactions and universal behavior in strongly interacting theories
journal, January 2012

Deep inelastic electron scattering in perturbation theory
journal, November 1971

On the difference between FOPT and CIPT for hadronic tau decays
journal, September 2021

Determination of the neutron spin structure function
journal, August 1993

Quantization of non-Abelian gauge theories
journal, June 1978

Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects
journal, July 2016

IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
journal, June 2008

Goldstone theorem and diquark confinement beyond rainbow-ladder approximation
journal, July 1996

On the generalized ward identity
journal, August 1957

Ghost-gluon running coupling, power corrections, and the determination of $Λ_{\bar{MS}}$
journal, January 2009

Computation of the strong coupling in QCD with two dynamical flavors
journal, May 2005

Radiative Corrections to Elastic and Inelastic $ep$ and $up$ Scattering
journal, January 1969

The strong coupling constant at small momentum as an instanton detector
journal, April 2003

Price of Asymptotic Freedom
journal, September 1973

QCD forces and heavy quark bound states
journal, March 2001

Unified description of seagull cancellations and infrared finiteness of gluon propagators
journal, August 2016

Determination of α from static QCD potential with renormalon subtraction
journal, February 2019

Version 3 of RunDec and CRunDec
journal, March 2018

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory
journal, December 2005

Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
journal, July 2018

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography
journal, July 2016

The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality
journal, September 2019

Determination of the QCD $Λ$ Parameter and the Accuracy of Perturbation Theory at High Energies
journal, October 2016

Emergent Hadron Mass in Strong Dynamics
journal, April 2022

Concerning pion parton distributions
journal, January 2022

A precise determination of αS from lattice QCD
journal, February 1995

Spin Sum Rules and the Strong Coupling Constant at large distance
conference, January 2009

Slavnov-Taylor identities in Weinberg's renormalization scheme
journal, November 1980

Quadratic mass corrections of order to the decay rate of Z- and W-bosons
journal, July 1997

Gluon Green functions free of quantum fluctuations
journal, September 2016

Massive Yang-Mills model and diffractive scattering
journal, February 1999

Observing long color flux tubes in SU(2) lattice gauge theory
journal, May 1995

The spin structure of the nucleon
journal, June 2019

Muon $g - 2$ and $α (M_{Z}^{2})$ : A new data-based analysis
journal, June 2018

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
journal, April 1961

QCD sum rule calculation of twist-3 contributions to polarized nucleon structure functions
journal, January 1995

Drawing insights from pion parton distributions
journal, March 2020

Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes
journal, June 2017

Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
journal, September 2016

High precision determination of the gluon fusion Higgs boson cross-section at the LHC
journal, May 2016

Measurement of the proton spin structure function g1p with a pure hydrogen target
journal, December 1998

Inelastic Scattering of Polarized Leptons from Polarized Nucleons
journal, March 1970

Divergence of Perturbation Theory in Quantum Electrodynamics
journal, February 1952

The Large Hadron–Electron Collider at the HL-LHC
journal, November 2021