QCD running couplings and effective charges

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

doi:10.1016/j.ppnp.2023.104081

Title: QCD running couplings and effective charges

Journal Article · 09 October 2023 · Progress in Particle and Nuclear Physics

DOI: https://doi.org/10.1016/j.ppnp.2023.104081 · OSTI ID:2281722

^[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)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)

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

OSTI ID:: 2281722

Alternate ID(s):: OSTI ID: 2224135

Report Number(s):: JLAB-PHY--23-3791; DOE/OR/23177-6092; 12135007

Journal Information:: Progress in Particle and Nuclear Physics, Journal Name: Progress in Particle and Nuclear Physics Vol. 134; ISSN 0146-6410

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (549)

Inelastic Scattering of Polarized Leptons from Polarized Nucleons Bjorken, J. D. Physical Review D, Vol. 1, Issue 5 https://doi.org/10.1103/PhysRevD.1.1376	journal	March 1970
On the elimination of scale ambiguities in perturbative quantum chromodynamics Brodsky, Stanley J.; Lepage, G. Peter; Mackenzie, Paul B. Physical Review D, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevD.28.228	journal	July 1983
Order-αs2 QCD corrections to the deep inelastic proton structure functions F2 and FL Zijlstra, E. B.; van Neerven, W. L. Nuclear Physics B, Vol. 383, Issue 3 https://doi.org/10.1016/0550-3213(92)90087-R	journal	September 1992
Parton distributions of light quarks and antiquarks in the proton Chang, Lei; Gao, Fei; Roberts, Craig D. Physics Letters B, Vol. 829 https://doi.org/10.1016/j.physletb.2022.137078	journal	June 2022
Analysis of nucleon electromagnetic form factors from light-front holographic QCD: The spacelike region Sufian, Raza Sabbir; de Téramond, Guy F.; Brodsky, Stanley J. Physical Review D, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevD.95.014011	journal	January 2017
Artificial dynamical effects in quantum field theory Brodsky, Stanley J.; Deur, Alexandre; Roberts, Craig D. Nature Reviews Physics, Vol. 4, Issue 7 https://doi.org/10.1038/s42254-022-00453-3	journal	May 2022
Explanation and prediction of observables using continuum strong QCD Cloët, Ian C.; Roberts, Craig D. Progress in Particle and Nuclear Physics, Vol. 77 https://doi.org/10.1016/j.ppnp.2014.02.001	journal	July 2014
Scheme Variations of the QCD Coupling and Hadronic τ Decays Boito, Diogo; Jamin, Matthias; Miravitllas, Ramon Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.152001	journal	October 2016
Analytic Model for the QCD Running Coupling with Universal α ¯ s ( 0 ) Value Shirkov, D. V.; Solovtsov, I. L. Physical Review Letters, Vol. 79, Issue 7 https://doi.org/10.1103/PhysRevLett.79.1209	journal	August 1997
The PDF4LHC21 combination of global PDF fits for the LHC Run III* Ball, Richard D.; Butterworth, Jon; Cooper-Sarkar, Amanda M. Journal of Physics G: Nuclear and Particle Physics, Vol. 49, Issue 8 https://doi.org/10.1088/1361-6471/ac7216	journal	July 2022
Asymptotic freedom and Goldstone realization of chiral symmetry Lane, Kenneth Physical Review D, Vol. 10, Issue 8 https://doi.org/10.1103/PhysRevD.10.2605	journal	October 1974
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 Karbstein, Felix; Peters, Antje; Wagner, Marc Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)114	journal	September 2014
Alternative refined Gribov-Zwanziger Lagrangian Gracey, J. A. Physical Review D, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevD.82.085032	journal	October 2010
The relativistic bound state problem in QCD: transverse lattice methods Burkardt, M.; Dalley, S. Progress in Particle and Nuclear Physics, Vol. 48, Issue 2 https://doi.org/10.1016/S0146-6410(02)00140-0	journal	January 2002
Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD von Smekal, Lorenz; Hauck, Andreas; Alkofer, Reinhard Physical Review Letters, Vol. 79, Issue 19 https://doi.org/10.1103/PhysRevLett.79.3591	journal	November 1997
Efficient calculation of one-loop QCD amplitudes Bern, Zvi; Kosower, David A. Physical Review Letters, Vol. 66, Issue 13 https://doi.org/10.1103/PhysRevLett.66.1669	journal	April 1991
Confinement contains condensates Brodsky, Stanley J.; Roberts, Craig D.; Shrock, Robert Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.065202	journal	June 2012
Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M. Physical Review Letters, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevLett.79.2184	journal	September 1997
One-loop unquenched three-gluon and ghost-gluon vertices in the Curci-Ferrari model Figueroa, Felipe; Peláez, Marcela Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.094005	journal	May 2022
The strange quark mass and Lambda parameter of two flavor QCD Fritzsch, Patrick; Knechtli, Francesco; Leder, Björn Nuclear Physics B, Vol. 865, Issue 3 https://doi.org/10.1016/j.nuclphysb.2012.07.026	journal	December 2012
On a class of Lagrangian models for massive and massless Yang-mills fields Curci, G.; Ferrari, R. Il Nuovo Cimento A, Vol. 32, Issue 2 https://doi.org/10.1007/BF02729999	journal	March 1976
Determination ofαsfrom energy-energy correlations ine+e−annihilation at 29 GeV Wood, D. R.; Petersen, A.; Abrams, G. Physical Review D, Vol. 37, Issue 11 https://doi.org/10.1103/PhysRevD.37.3091	journal	June 1988
Introduction to the Functional RG and Applications to Gauge Theories Gies, Holger Renormalization Group and Effective Field Theory Approaches to Many-Body Systems https://doi.org/10.1007/978-3-642-27320-9_6	book	January 2012
Two-loop calculation of Yang-Mills propagators in the Curci-Ferrari model Gracey, John A.; Peláez, Marcela; Reinosa, Urko Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034023	journal	August 2019
Impressions of the Continuum Bound State Problem in QCD Qin, Si-Xue; Roberts, C. D. Chinese Physics Letters, Vol. 37, Issue 12 https://doi.org/10.1088/0256-307X/37/12/121201	journal	December 2020
Strong Running Coupling at τ and Z 0 Mass Scales from Lattice QCD Blossier, B.; Boucaud, Ph.; Brinet, M. Physical Review Letters, Vol. 108, Issue 26 https://doi.org/10.1103/PhysRevLett.108.262002	journal	June 2012
Three-gluon vertex in Landau gauge Eichmann, Gernot; Williams, Richard; Alkofer, Reinhard Physical Review D, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevD.89.105014	journal	May 2014
Towards a single scale-dependent Pomeron in holographic light-front QCD Dosch, Hans Günter; de Téramond, Guy F.; Liu, Tianbo Physical Review D, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevD.105.034029	journal	February 2022
Quantum chromodynamics and other field theories on the light cone Brodsky, S. Physics Reports, Vol. 301, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00089-6	journal	August 1998
Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I Nambu, Y.; Jona-Lasinio, G. Physical Review, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRev.122.345	journal	April 1961
Walking signals in N f = 8 QCD on the lattice Aoki, Yasumichi; Aoyama, Tatsumi; Kurachi, Masafumi Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.094511	journal	May 2013
REvolver: Automated running and matching of couplings and masses in QCD Hoang, André H.; Lepenik, Christopher; Mateu, Vicent Computer Physics Communications, Vol. 270 https://doi.org/10.1016/j.cpc.2021.108145	journal	January 2022
From spectroscopy to the strong coupling constant with heavy Wilson quarks Wingate, Matthew; DeGrand, Thomas; Collins, Sara Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.307	journal	July 1995
Precision Measurement of the Deuteron Spin Structure Function g 1 d Abe, K.; Akagi, T.; Anthony, P. L. Physical Review Letters, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevLett.75.25	journal	July 1995
The background field method beyond one loop Abbott, L. F. Nuclear Physics B, Vol. 185, Issue 1 https://doi.org/10.1016/0550-3213(81)90371-0	journal	July 1981
Local gauge transformation for the quark propagator in an SU(N) gauge theory Aslam, M. Jamil; Bashir, A.; Gutiérrez-Guerrero, L. X. Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.076001	journal	April 2016
Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S. Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.045039	journal	August 2015
The three-loop QCD β-function and anomalous dimensions Larin, S. A.; Vermaseren, J. A. M. Physics Letters B, Vol. 303, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91441-O	journal	April 1993
α s and \| V cs \| determination, and CKM unitarity test, from W decays at NNLO d'Enterria, David; Srebre, Matej Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.012	journal	December 2016
Matching NLLA+NNLO for event shape distributions Gehrmann, T.; Luisoni, G.; Stenzel, H. Physics Letters B, Vol. 664, Issue 4-5 https://doi.org/10.1016/j.physletb.2008.05.023	journal	June 2008
Three-point correlation functions in Yang-Mills theory Peláez, Marcela; Tissier, Matthieu; Wschebor, Nicolás Physical Review D, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevD.88.125003	journal	December 2013
Conformal invariance in quantum mechanics de Alfaro, V.; Fubini, S.; Furlan, G. Il Nuovo Cimento A, Vol. 34, Issue 4 https://doi.org/10.1007/BF02785666	journal	August 1976
Determination of the QCD coupling from ALEPH τ decay data Pich, Antonio; Rodríguez-Sánchez, Antonio Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevD.94.034027	journal	August 2016
Manifestation of Sea Quark Effects in the Strong Coupling Constant in Lattice QCD Aoki, S.; Fukugita, M.; Hashimoto, S. Physical Review Letters, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevLett.74.22	journal	January 1995
Process-independent strong running coupling Binosi, Daniele; Mezrag, Cédric; Papavassiliou, Joannis Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054026	journal	September 2017
Parton distribution functions, α s , and heavy-quark masses for LHC Run II Alekhin, S.; Blümlein, J.; Moch, S. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014011	journal	July 2017
Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders Barrios, Nahuel; Peláez, Marcela; Reinosa, Urko Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114039	journal	December 2022
Determination of ΛMS from quenched and Nf=2 dynamical QCD Booth, S.; Göckeler, M.; Horsley, R. Physics Letters B, Vol. 519, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)01103-0	journal	November 2001
Semileptonic transitions: B() → π(K); D → K; D → π,K; and K → π Yao, Zhao-Qian; Binosi, Daniele; Cui, Zhu-Fang Physics Letters B, Vol. 824 https://doi.org/10.1016/j.physletb.2021.136793	journal	January 2022
Natural constraints on the gluon-quark vertex Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis Physical Review D, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevD.95.031501	journal	February 2017
The common elements of atomic and hadronic physics Brodsky, Stanley J. Hyperfine Interactions, Vol. 234, Issue 1-3 https://doi.org/10.1007/s10751-015-1153-9	journal	March 2015
Gauge Invariance and Mass. II Schwinger, Julian Physical Review, Vol. 128, Issue 5 https://doi.org/10.1103/PhysRev.128.2425	journal	December 1962
Renormalization-scheme-invariant QCD and QED: The method of effective charges Grunberg, G. Physical Review D, Vol. 29, Issue 10 https://doi.org/10.1103/PhysRevD.29.2315	journal	May 1984
Elimination of Ghosts in Propagators Redmond, P. J. Physical Review, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRev.112.1404	journal	November 1958
Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions Shintani, E.; Aoki, S.; Fukaya, H. Physical Review D, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevD.82.074505	journal	October 2010
Pion parton distribution function in light-front holographic QCD Chang, Lei; Raya, Khépani; Wang, Xiaobin Chinese Physics C, Vol. 44, Issue 11 https://doi.org/10.1088/1674-1137/abae52	journal	October 2020
αs from the non-perturbatively renormalised lattice three-gluon vertex Allés, B.; Henty, D. S.; Panagopoulos, H. Nuclear Physics B, Vol. 502, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00483-5	journal	September 1997
Infrared Behavior and Fixed Points in Landau-Gauge QCD Pawlowski, Jan M.; Litim, Daniel F.; Nedelko, Sergei Physical Review Letters, Vol. 93, Issue 15 https://doi.org/10.1103/PhysRevLett.93.152002	journal	October 2004
A numerical method to compute the running coupling in asymptotically free theories Lüscher, Martin; Weisz, Peter; Wolff, Ulli Nuclear Physics B, Vol. 359, Issue 1 https://doi.org/10.1016/0550-3213(91)90298-C	journal	July 1991
QCD analysis of the tau hadronic width Braaten, E.; Narison, S.; Pich, A. Nuclear Physics B, Vol. 373, Issue 3 https://doi.org/10.1016/0550-3213(92)90267-F	journal	April 1992
More on the renormalization of the horizon function of the Gribov–Zwanziger action and the Kugo–Ojima Green function(s) Dudal, D.; Sorella, S. P.; Vandersickel, N. The European Physical Journal C, Vol. 68, Issue 1-2 https://doi.org/10.1140/epjc/s10052-010-1304-8	journal	April 2010
Dual-symmetric theory of hadrons: II.—Baryons Frye, G.; Lee, C. W.; Susskind, L. Il Nuovo Cimento A Series 10, Vol. 69, Issue 3 https://doi.org/10.1007/BF02726486	journal	October 1970
Non-perturbative quark mass renormalization in quenched lattice QCD Capitani, Stefano; Lüscher, Martin; Sommer, Rainer Nuclear Physics B, Vol. 544, Issue 3 https://doi.org/10.1016/S0550-3213(98)00857-8	journal	April 1999
Gluon propagator on a center-vortex background Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094504	journal	November 2018
Light-Front Holography: A First Approximation to QCD de Téramond, Guy F.; Brodsky, Stanley J. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.081601	journal	February 2009
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all Accardi, A.; Albacete, J. L.; Anselmino, M. The European Physical Journal A, Vol. 52, Issue 9 https://doi.org/10.1140/epja/i2016-16268-9	journal	September 2016
Precision measurement of the proton and deuteron spin structure functions g2 and asymmetries A2 Anthony, P. L.; Arnold, R. G.; Averett, T. Physics Letters B, Vol. 553, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)03015-0	journal	January 2003
α S from Υ spectroscopy with dynamical Wilson fermions Spitz, A.; Hoeber, H.; Eicker, N. Physical Review D, Vol. 60, Issue 7 https://doi.org/10.1103/PhysRevD.60.074502	journal	September 1999
Massive Yang-Mills model and diffractive scattering Forshaw, J. R.; Papavassiliou, J.; Parrinello, C. Physical Review D, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevD.59.074008	journal	February 1999
Feasibility Studies for Single Transverse-Spin Asymmetry Measurements at a Fixed-Target Experiment Using the LHC Proton and Lead Beams (AFTER@LHC) Kikoła, Daniel; Echevarria, Miguel García; Hadjidakis, Cynthia Few-Body Systems, Vol. 58, Issue 4 https://doi.org/10.1007/s00601-017-1299-x	journal	May 2017
High-precision quark masses and QCD coupling from n f = 4 lattice QCD Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B. Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054508	journal	March 2015
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 Sirunyan, A. M.; Tumasyan, A.; Adam, W. The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5286-7	journal	November 2017
Symmetry preserving truncations of the gap and Bethe-Salpeter equations Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.096010	journal	May 2016
Strong coupling constant from Adler function in lattice QCD Hudspith, Renwick J.; Lewis, Randy; Maltman, Kim Modern Physics Letters A, Vol. 31, Issue 32 https://doi.org/10.1142/S0217732316300378	journal	October 2016
Running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory Kellermann, Christian; Fischer, Christian S. Physical Review D, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevD.78.025015	journal	July 2008
Deep inelastic electron scattering in perturbation theory Gribov, V. N.; Lipatov, L. N. Physics Letters B, Vol. 37, Issue 1 https://doi.org/10.1016/0370-2693(71)90576-4	journal	November 1971
Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory Bednyakov, Alexander; Pikelner, Andrey Physical Review Letters, Vol. 127, Issue 4 https://doi.org/10.1103/PhysRevLett.127.041801	journal	July 2021
Exposing strangeness: Projections for kaon electromagnetic form factors Gao, Fei; Chang, Lei; Liu, Yu-Xin Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034024	journal	August 2017
From quarks and gluons to hadrons: Chiral symmetry breaking in dynamical QCD Braun, Jens; Fister, Leonard; Pawlowski, Jan M. Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevD.94.034016	journal	August 2016
Connection between center vortices and instantons through gauge-field smoothing Trewartha, Daniel; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074507	journal	October 2015
Total Top-Quark Pair-Production Cross Section at Hadron Colliders Through O ( α S 4 ) Czakon, Michał; Fiedler, Paul; Mitov, Alexander Physical Review Letters, Vol. 110, Issue 25 https://doi.org/10.1103/PhysRevLett.110.252004	journal	June 2013
High statistics determination of the strong coupling constant in Taylor scheme and its OPE Wilson coefficient from lattice QCD with a dynamical charm Blossier, B.; Boucaud, Ph.; Brinet, M. Physical Review D, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevD.89.014507	journal	January 2014
How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators? Reinosa, U.; Serreau, J.; Tissier, M. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014005	journal	July 2017
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture Wilson, Kenneth G. Physical Review B, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevB.4.3174	journal	November 1971
Power corrections 1/Q2to parton sum rules for deep inelastic scattering from polarized nucleons Balitsky, I. I.; Braun, V. M.; Kolesnichenko, A. V. Physics Letters B, Vol. 242, Issue 2 https://doi.org/10.1016/0370-2693(90)91465-N	journal	June 1990
Colloquium : Roper resonance: Toward a solution to the fifty year puzzle Burkert, Volker D.; Roberts, Craig D. Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/RevModPhys.91.011003	journal	March 2019
Two-loop diagrams in Yang-Mills theory Jones, D. R. T. Nuclear Physics B, Vol. 75, Issue 3 https://doi.org/10.1016/0550-3213(74)90093-5	journal	June 1974
IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation Boucaud, Ph; Leroy, J. P.; Yaouanc, A. Le Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/012	journal	June 2008
Precise determination of αs from relativistic quarkonium sum rules Boito, Diogo; Mateu, Vicent Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)094	journal	March 2020
The Gribov problem and QCD dynamics Vandersickel, N.; Zwanziger, Daniel Physics Reports, Vol. 520, Issue 4 https://doi.org/10.1016/j.physrep.2012.07.003	journal	November 2012
Scalar correlator, Higgs decay into quarks, and scheme variations of the QCD coupling Jamin, Matthias; Miravitllas, Ramon Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)059	journal	October 2016
Small-distance-behaviour analysis and Wilson expansions Symanzik, K. Communications in Mathematical Physics, Vol. 23, Issue 1 https://doi.org/10.1007/BF01877596	journal	March 1971
Physics opportunities of a fixed-target experiment using LHC beams Brodsky, S. J.; Fleuret, F.; Hadjidakis, C. Physics Reports, Vol. 522, Issue 4 https://doi.org/10.1016/j.physrep.2012.10.001	journal	January 2013
The running coupling from the QCD Schrödinger functional: a one-loop analysis Sint, Stefan; Sommer, Rainer Nuclear Physics B, Vol. 465, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00020-X	journal	April 1996
Violations of quark-hadron duality in low-energy determinations of αs Pich, Antonio; Rodríguez-Sánchez, Antonio Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)145	journal	July 2022
Next-to-leading order QCD analysis of polarized deep inelastic scattering data Abe, K.; Akagi, T.; Anderson, B. D. Physics Letters B, Vol. 405, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)00641-2	journal	July 1997
Price of Asymptotic Freedom Coleman, Sidney; Gross, David J. Physical Review Letters, Vol. 31, Issue 13 https://doi.org/10.1103/PhysRevLett.31.851	journal	September 1973
Experimental Tests of Perturbative QCD Altarelli, G. Annual Review of Nuclear and Particle Science, Vol. 39, Issue 1 https://doi.org/10.1146/annurev.ns.39.120189.002041	journal	December 1989
Exact N3LO results for qq′ → H + X Anzai, Chihaya; Hasselhuhn, Alexander; Höschele, Maik Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)140	journal	July 2015
Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD Mojaza, Matin; Brodsky, Stanley J.; Wu, Xing-Gang Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.192001	journal	May 2013
On the zero crossing of the three-gluon vertex Athenodorou, A.; Binosi, D.; Boucaud, Ph. Physics Letters B, Vol. 761 https://doi.org/10.1016/j.physletb.2016.08.065	journal	October 2016
Infrared exponents and running coupling of SU(N) Yang–Mills theories Fischer, C. S.; Alkofer, R. Physics Letters B, Vol. 536, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)01809-9	journal	May 2002
Symmetry, symmetry breaking, and pion parton distributions Ding, Minghui; Raya, Khépani; Binosi, Daniele Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.054014	journal	March 2020
The spin-dependent structure function of the proton g1p and a test of the Bjorken sum rule Alekseev, M. G.; Alexakhin, V. Yu.; Alexandrov, Yu. Physics Letters B, Vol. 690, Issue 5 https://doi.org/10.1016/j.physletb.2010.05.069	journal	July 2010
A method for getting a finite $$\alpha $$ α in the IR region from an all-order beta function Zheng, Zhi-Yuan; Zhou, Gao-Liang The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5384-6	journal	November 2017
A precise determination of the running coupling in the SU(3) Yang-Mills theory Lüscher, Martin; Sommer, Rainer; Weisz, Peter Nuclear Physics B, Vol. 413, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90629-7	journal	January 1994
Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order α s 4 in a General Gauge Theory Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 104, Issue 13 https://doi.org/10.1103/PhysRevLett.104.132004	journal	March 2010
Observing long color flux tubes in SU(2) lattice gauge theory Bali, Gunnar S.; Schlichter, Christoph; Schilling, Klaus Physical Review D, Vol. 51, Issue 9 https://doi.org/10.1103/PhysRevD.51.5165	journal	May 1995
On some ambiguities in the method of effective charges Grunberg, G. Physical Review D, Vol. 40, Issue 2 https://doi.org/10.1103/PhysRevD.40.680	journal	July 1989
Pinch technique: Theory and applications Binosi, Daniele; Papavassiliou, Joannis Physics Reports, Vol. 479, Issue 1-6 https://doi.org/10.1016/j.physrep.2009.05.001	journal	August 2009
Ghost-gluon coupling, power corrections, and Λ MS ¯ from lattice QCD with a dynamical charm Blossier, B.; Boucaud, Ph.; Brinet, M. Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034503	journal	February 2012
An Identity in Quantum Electrodynamics Ward, J. C. Physical Review, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRev.78.182	journal	April 1950
Electron-ion collider in China Anderle, Daniele P.; Bertone, Valerio; Cao, Xu Frontiers of Physics, Vol. 16, Issue 6 https://doi.org/10.1007/s11467-021-1062-0	journal	June 2021
Experimental study of isovector spin sum rules Deur, A.; Bosted, P.; Burkert, V. Physical Review D, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevD.78.032001	journal	August 2008
Second order gluon polarization for SU(N) theory in a linear covariant gauge Siringo, Fabio Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.074034	journal	October 2015
Analytical approximations for real values of the Lambert W-function Barry, D. A.; Parlange, J. -Y; Li, L. Mathematics and Computers in Simulation, Vol. 53, Issue 1-2 https://doi.org/10.1016/S0378-4754(00)00172-5	journal	August 2000
Measurement of α s ( Q 2 ) from the Gross–Llewellyn Smith Sum Rule Kim, J. H.; Harris, D. A.; Arroyo, C. G. Physical Review Letters, Vol. 81, Issue 17 https://doi.org/10.1103/PhysRevLett.81.3595	journal	October 1998
Specific features of heavy quark production: Local parton-hadron duality approach to heavy particle spectra Dokshitzer, Yu. L.; Khoze, V. A.; Troyan, S. I. Physical Review D, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevD.53.89	journal	January 1996
Local and renormalizable action from the gribov horizon Zwanziger, Daniel Nuclear Physics B, Vol. 323, Issue 3 https://doi.org/10.1016/0550-3213(89)90122-3	journal	September 1989
Reconstruction of the deep inelastic structure functions from their moments Ynduráin, F. J. Physics Letters B, Vol. 74, Issue 1-2 https://doi.org/10.1016/0370-2693(78)90062-X	journal	March 1978
The gradient flow coupling at high-energy and the scale of SU(3) Yang–Mills theory Dalla Brida, Mattia; Ramos, Alberto The European Physical Journal C, Vol. 79, Issue 8 https://doi.org/10.1140/epjc/s10052-019-7228-z	journal	August 2019
Origin of the Proton Mass Roberts, Craig D. EPJ Web of Conferences, Vol. 282 https://doi.org/10.1051/epjconf/202328201006	journal	January 2023
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998
S U ( 3 ) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition Ilgenfritz, Ernst-Michael; Menz, Christoph; Müller-Preussker, Michael Physical Review D, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevD.83.054506	journal	March 2011
Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus Novikov, V. A.; Shifman, M. A.; Vainshtein, A. I. Nuclear Physics B, Vol. 229, Issue 2 https://doi.org/10.1016/0550-3213(83)90338-3	journal	December 1983
The spin structure function g 1 p of the proton and a test of the Bjorken sum rule Adolph, C.; Akhunzyanov, R.; Alexeev, M. G. Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.11.064	journal	February 2016
Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons Peter Lepage, G.; Brodsky, Stanley J. Physics Letters B, Vol. 87, Issue 4 https://doi.org/10.1016/0370-2693(79)90554-9	journal	November 1979
Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond Reinosa, U.; Serreau, J.; Tissier, M. Physical Review D, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevD.93.105002	journal	May 2016
The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states Alkofer, R. Physics Reports, Vol. 353, Issue 5-6 https://doi.org/10.1016/S0370-1573(01)00010-2	journal	November 2001
Unified Description of Polarized and Unpolarized Quark Distributions in the Proton Liu, Tianbo; Sufian, Raza Sabbir; de Téramond, Guy F. Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/PhysRevLett.124.082003	journal	February 2020
Deep Inelastic sum Rules at the Boundaries Between Perturbative and Nonperturbative qcd Kataev, A. L. Modern Physics Letters A, Vol. 20, Issue 27 https://doi.org/10.1142/S0217732305018165	journal	September 2005
Conjecture Concerning the Properties of Nonrenormalizable Field Theories Redmond, Peter J.; Uretsky, Jack L. Physical Review Letters, Vol. 1, Issue 4 https://doi.org/10.1103/PhysRevLett.1.147	journal	August 1958
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 Kataev, A. L.; Molokoedov, V. S. Physical Review D, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevD.92.054008	journal	September 2015
Gauge-invariant three-gluon vertex in QCD Cornwall, John M.; Papavassiliou, Joannis Physical Review D, Vol. 40, Issue 10 https://doi.org/10.1103/PhysRevD.40.3474	journal	November 1989
The Nf=0 heavy quark potential from short to intermediate distances Necco, Silvia; Sommer, Rainer Nuclear Physics B, Vol. 622, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00582-X	journal	February 2002
Measurement of the deuteron spin structure function g1d(x) for 1 (GeV/c)2<40 (GeV/c)2 Anthony, P. L.; Arnold, R. G.; Averett, T. Physics Letters B, Vol. 463, Issue 2-4 https://doi.org/10.1016/S0370-2693(99)00940-5	journal	September 1999
Hamiltonian formulation of Wilson's lattice gauge theories Kogut, John; Susskind, Leonard Physical Review D, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevD.11.395	journal	January 1975
Lattice gluon and ghost propagators and the strong coupling in pure SU(3) Yang-Mills theory: Finite lattice spacing and volume effects Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J. Physical Review D, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevD.94.014502	journal	July 2016
Dynamical mass generation in continuum quantum chromodynamics Cornwall, John M. Physical Review D, Vol. 26, Issue 6 https://doi.org/10.1103/PhysRevD.26.1453	journal	September 1982
On the analytically-improved running coupling in QCD Brandt, F. T.; Frenkel, J.; McKeon, D. G. C. Modern Physics Letters A, Vol. 37, Issue 15 https://doi.org/10.1142/S0217732322500924	journal	May 2022
A study of energy-energy correlations between 12 and 46.8 GeV c.m. energies Braunschweig, W.; Gerhards, R.; Kirschfink, F. J. Zeitschrift für Physik C Particles and Fields, Vol. 36, Issue 3 https://doi.org/10.1007/BF01573928	journal	September 1987
Lifting the Gribov ambiguity in Yang–Mills theories Serreau, J.; Tissier, M. Physics Letters B, Vol. 712, Issue 1-2 https://doi.org/10.1016/j.physletb.2012.04.041	journal	May 2012
Measurement of the spin-dependent structure function g1(x) of the deuteron Adeva, B.; Ahmad, S.; Arvidson, A. Physics Letters B, Vol. 302, Issue 4 https://doi.org/10.1016/0370-2693(93)90438-N	journal	April 1993
Measurement of the proton and deuteron spin structure functions g2 and asymmetry A2 Anthony, P. L.; Arnold, R. G.; Averett, T. Physics Letters B, Vol. 458, Issue 4 https://doi.org/10.1016/S0370-2693(99)00590-0	journal	July 1999
The running coupling of QCD with four flavors Tekin, Fatih; Sommer, Rainer; Wolff, Ulli Nuclear Physics B, Vol. 840, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2010.07.002	journal	November 2010
Feynman diagrams for the Yang-Mills field Faddeev, L. D.; Popov, V. N. Physics Letters B, Vol. 25, Issue 1 https://doi.org/10.1016/0370-2693(67)90067-6	journal	July 1967
A study of energy-energy correlations ine + e ? annihilations at $$\sqrt s = 34.6$$ GeV Zeitschrift f�r Physik C Particles and Fields, Vol. 28, Issue 3 https://doi.org/10.1007/BF01413599	journal	September 1985
Impact of dynamical fermions on the center vortex gluon propagator Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B. Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014506	journal	July 2022
Scale-dependent mass anomalous dimension from Dirac eigenmodes Cheng, Anqi; Hasenfratz, Anna; Petropoulos, Gregory Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)061	journal	July 2013
Lattice calculation of α _s in momentum scheme Boucaud, Philippe; Leroy, Jean-Pierre; Micheli, Jacques Journal of High Energy Physics, Vol. 1998, Issue 10 https://doi.org/10.1088/1126-6708/1998/10/017	journal	October 1998
Precision Determination of the Neutron Spin Structure Function g 1 n Abe, K.; Akagi, T.; Anderson, B. D. Physical Review Letters, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevLett.79.26	journal	July 1997
Landau gauge Yang-Mills propagators in the complex momentum plane Fischer, Christian S.; Huber, Markus Q. Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094005	journal	November 2020
Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology Rodríguez-Quintero, Jose; Binosi, Daniele; Mezrag, Cédric Few-Body Systems, Vol. 59, Issue 6 https://doi.org/10.1007/s00601-018-1437-0	journal	July 2018
Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality Brodsky, Stanley J.; Wu, Xing-Gang Physical Review Letters, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevLett.109.042002	journal	July 2012
On the definition of gauge field operators in lattice gauge-fixed theories Giusti, L.; Paciello, M. L.; Petrarca, S. Physics Letters B, Vol. 432, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00631-5	journal	July 1998
Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front Chang, Lei; Cloët, I. C.; Cobos-Martinez, J. J. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.132001	journal	March 2013
Strong coupling from non-equilibrium Monte Carlo simulations Francesconi, Olmo; Panero, Marco; Preti, David Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)233	journal	July 2020
Non-perturbative power corrections to ghost and gluon propagators Boucaud, Philippe; Leroy, Jean-Pierre; Yaouanc, Alain Le Journal of High Energy Physics, Vol. 2006, Issue 01 https://doi.org/10.1088/1126-6708/2006/01/037	journal	January 2006
The running coupling from lattice gauge theory Michael, C. Physics Letters B, Vol. 283, Issue 1-2 https://doi.org/10.1016/0370-2693(92)91435-C	journal	June 1992
Experimental determination of the effective strong coupling constant Deur, A.; Burkert, V.; Chen, J. P. Physics Letters B, Vol. 650, Issue 4 https://doi.org/10.1016/j.physletb.2007.05.015	journal	July 2007
Non-Gaussian wave functionals in Coulomb gauge Yang-Mills theory Campagnari, Davide R.; Reinhardt, Hugo Physical Review D, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevD.82.105021	journal	November 2010
On the IR behaviour of the Landau-gauge ghost propagator Boucaud, Ph; Leroy, J. P.; Yaouanc, A. Le Journal of High Energy Physics, Vol. 2008, Issue 06 https://doi.org/10.1088/1126-6708/2008/06/099	journal	June 2008
Emergence of Hadron Mass and Structure Ding, Minghui; Roberts, Craig D.; Schmidt, Sebastian M. Particles, Vol. 6, Issue 1 https://doi.org/10.3390/particles6010004	journal	January 2023
High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD Allison, I.; Dalgic, E.; Davies, C. T. H. Physical Review D, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevD.78.054513	journal	September 2008
Determination of the QCD coupling from the static energy and the free energy Bazavov, Alexei; Brambilla, Nora; Garcia i. Tormo, Xavier Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114511	journal	December 2019
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’ ” Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J. Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.098502	journal	November 2017
QCD formulation of the tau decay and determination of ΛMS¯ Narison, S.; Pich, A. Physics Letters B, Vol. 211, Issue 1-2 https://doi.org/10.1016/0370-2693(88)90830-1	journal	August 1988
The renormalization group and the ε expansion Wilson, K. Physics Reports, Vol. 12, Issue 2 https://doi.org/10.1016/0370-1573(74)90023-4	journal	August 1974
Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared Bogolubsky, I. L.; Ilgenfritz, E. -M.; Müller-Preussker, M. Physics Letters B, Vol. 676, Issue 1-3 https://doi.org/10.1016/j.physletb.2009.04.076	journal	June 2009
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 Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A. Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)156	journal	March 2017
The four-loop β-function in quantum chromodynamics van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A. Physics Letters B, Vol. 400, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00370-5	journal	May 1997
Precise QCD Predictions for the Production of Dijet Final States in Deep Inelastic Scattering Currie, James; Gehrmann, Thomas; Niehues, Jan Physical Review Letters, Vol. 117, Issue 4 https://doi.org/10.1103/PhysRevLett.117.042001	journal	July 2016
Effective charge from lattice QCD * Cui, Z. -F.; Zhang, J. -L.; Binosi, D. Chinese Physics C, Vol. 44, Issue 8 https://doi.org/10.1088/1674-1137/44/8/083102	journal	August 2020
Fractional analytic QCD beyond leading order Kotikov, A. V.; Zemlyakov, I. A. Journal of Physics G: Nuclear and Particle Physics, Vol. 50, Issue 1 https://doi.org/10.1088/1361-6471/ac99ce	journal	November 2022
Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10 https://doi.org/10.1088/1361-6471/aa888a	journal	September 2017
Fermion interactions and universal behavior in strongly interacting theories Braun, Jens Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 3 https://doi.org/10.1088/0954-3899/39/3/033001	journal	January 2012
The generalized scheme-independent Crewther relation in QCD Shen, Jian-Ming; Wu, Xing-Gang; Ma, Yang Physics Letters B, Vol. 770 https://doi.org/10.1016/j.physletb.2017.05.022	journal	July 2017
Unified description of seagull cancellations and infrared finiteness of gluon propagators Aguilar, A. C.; Binosi, D.; Figueiredo, C. T. Physical Review D, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevD.94.045002	journal	August 2016
Static quark potential from center vortices in the presence of dynamical fermions Biddle, James C.; Kamleh, Waseem; Leinweber, Derek B. Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.054505	journal	September 2022
Renormalization of gauge theories Becchi, C.; Rouet, A.; Stora, R. Annals of Physics, Vol. 98, Issue 2 https://doi.org/10.1016/0003-4916(76)90156-1	journal	June 1976
Quark-antiquark potential in QCD Fischler, W. Nuclear Physics B, Vol. 129, Issue 1 https://doi.org/10.1016/0550-3213(77)90026-8	journal	October 1977
Strong Running Coupling from the Gauge Sector of Domain Wall Lattice QCD with Physical Quark Masses Zafeiropoulos, S.; Boucaud, Ph.; De Soto, F. Physical Review Letters, Vol. 122, Issue 16 https://doi.org/10.1103/PhysRevLett.122.162002	journal	April 2019
Gauge fixing on the lattice without ambiguity Vink, Jeroen C.; Wiese, Uwe-Jens Physics Letters B, Vol. 289, Issue 1-2 https://doi.org/10.1016/0370-2693(92)91372-G	journal	September 1992
Infrared properties of QCD from Dyson–Schwinger equations Fischer, Christian S. Journal of Physics G: Nuclear and Particle Physics, Vol. 32, Issue 8 https://doi.org/10.1088/0954-3899/32/8/R02	journal	June 2006
Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane Abbas, Gauhar; Ananthanarayan, B.; Caprini, Irinel Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014008	journal	January 2013
Non-perturbative determination of the Λ-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling Ishikawa, Ken-Ichi; Kanamori, Issaku; Murakami, Yuko Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)067	journal	December 2017
Exclusive processes in perturbative quantum chromodynamics Lepage, G. Peter; Brodsky, Stanley J. Physical Review D, Vol. 22, Issue 9 https://doi.org/10.1103/PhysRevD.22.2157	journal	November 1980
Aspects of SU(Nc) gauge theories in the limit of small number of colors Brodsky, Stanley J.; Huet, Patrick Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01209-4	journal	January 1998
A no-go theorem for regularizing chiral fermions Nielsen, H. B.; Ninomiya, M. Physics Letters B, Vol. 105, Issue 2-3 https://doi.org/10.1016/0370-2693(81)91026-1	journal	October 1981
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order Caswell, William E. Physical Review Letters, Vol. 33, Issue 4 https://doi.org/10.1103/PhysRevLett.33.244	journal	July 1974
Light-front holographic QCD and emerging confinement Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter Physics Reports, Vol. 584 https://doi.org/10.1016/j.physrep.2015.05.001	journal	July 2015
The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge Luthe, Thomas; Maier, Andreas; Marquard, Peter Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)166	journal	October 2017
Measurement of the Running of Effective QED Coupling at Large Momentum Transfer in the Spacelike Region Odaka, S.; Abe, K.; Amako, K. Physical Review Letters, Vol. 81, Issue 12 https://doi.org/10.1103/PhysRevLett.81.2428	journal	September 1998
Testing QCD with τ decays Le Diberder, F.; Pich, A. Physics Letters B, Vol. 289, Issue 1-2 https://doi.org/10.1016/0370-2693(92)91380-R	journal	September 1992
The strong coupling and its running to four loops in a minimal MOM scheme von Smekal, Lorenz; Maltman, Kim; Sternbeck, André Physics Letters B, Vol. 681, Issue 4 https://doi.org/10.1016/j.physletb.2009.10.030	journal	November 2009
The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3 Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A. M. Nuclear Physics B, Vol. 438, Issue 1-2 https://doi.org/10.1016/0550-3213(94)00574-X	journal	March 1995
Ghost dynamics in the soft gluon limit Aguilar, A. C.; Ambrósio, C. O.; De Soto, F. Physical Review D, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevD.104.054028	journal	September 2021
Preliminary Calculation of α _S from Green Functions with Dynamical Quarks Boucaud, Philippe; Leroy, Jean Pierre; Micheli, Jacques Journal of High Energy Physics, Vol. 2002, Issue 01 https://doi.org/10.1088/1126-6708/2002/01/046	journal	January 2002
Lattice three-gluon vertex in extended kinematics: Planar degeneracy Pinto-Gómez, F.; De Soto, F.; Ferreira, M. N. Physics Letters B, Vol. 838 https://doi.org/10.1016/j.physletb.2023.137737	journal	March 2023
Parton distributions and lattice QCD calculations: A community white paper Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred Progress in Particle and Nuclear Physics, Vol. 100 https://doi.org/10.1016/j.ppnp.2018.01.007	journal	May 2018
Light-cone-quantized QCD in 1+1 dimensions Hornbostel, Kent; Brodsky, Stanley J.; Pauli, Hans-Christian Physical Review D, Vol. 41, Issue 12 https://doi.org/10.1103/PhysRevD.41.3814	journal	June 1990
Renormalons in integrated spectral function moments and α s extractions Boito, Diogo; Oliani, Fabio Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074003	journal	April 2020
The quark–gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement Alkofer, Reinhard; Fischer, Christian S.; Llanes-Estrada, Felipe J. Annals of Physics, Vol. 324, Issue 1 https://doi.org/10.1016/j.aop.2008.07.001	journal	January 2009
Is There a Landau Pole Problem in QED? Göckeler, M.; Horsley, R.; Linke, V. Physical Review Letters, Vol. 80, Issue 19 https://doi.org/10.1103/PhysRevLett.80.4119	journal	May 1998
Gluon Green functions free of quantum fluctuations Athenodorou, A.; Boucaud, Ph.; De Soto, F. Physics Letters B, Vol. 760 https://doi.org/10.1016/j.physletb.2016.07.007	journal	September 2016
Strong coupling constant and quark masses from lattice QCD Komijani, Javad; Petreczky, Peter; Weber, Johannes Heinrich Progress in Particle and Nuclear Physics, Vol. 113 https://doi.org/10.1016/j.ppnp.2020.103788	journal	July 2020
SU(3) Yang Mills theory at small distances and fine lattices Husung, Nikolai; Koren, Mateusz; Krah, Philipp EPJ Web of Conferences, Vol. 175 https://doi.org/10.1051/epjconf/201817514024	journal	January 2018
FLAG Review 2021 Aoki, Y.; Blum, T.; Colangelo, G. The European Physical Journal C, Vol. 82, Issue 10 https://doi.org/10.1140/epjc/s10052-022-10536-1	journal	October 2022
On analytic properties of vertex parts in quantum field theory Landau, L. D. Nuclear Physics, Vol. 13, Issue 1 https://doi.org/10.1016/0029-5582(59)90154-3	journal	October 1959
The quark-gluon vertex in Landau gauge bound-state studies Williams, Richard The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15057-4	journal	May 2015
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 Sirunyan, A. M.; Tumasyan, A.; Adam, W. The European Physical Journal C, Vol. 80, Issue 7 https://doi.org/10.1140/epjc/s10052-020-7917-7	journal	July 2020
Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2 Cvetič, Gorazd; Kögerler, Reinhart Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 10 https://doi.org/10.1088/1361-6471/aba421	journal	August 2020
Running coupling constant of ten-flavor QCD with the Schrödinger functional method Hayakawa, M.; Ishikawa, K. -I.; Osaki, Y. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074509	journal	April 2011
An analysis of systematic effects in finite size scaling studies using the gradient flow Nada, Alessandro; Ramos, Alberto The European Physical Journal C, Vol. 81, Issue 1 https://doi.org/10.1140/epjc/s10052-020-08759-1	journal	January 2021
Further evidence for zero crossing on the three gluon vertex Duarte, Anthony G.; Oliveira, Orlando; Silva, Paulo J. Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.074502	journal	October 2016
Precision physics with inclusive QCD processes Pich, Antonio Progress in Particle and Nuclear Physics, Vol. 117 https://doi.org/10.1016/j.ppnp.2020.103846	journal	March 2021
Novel and Self-Consistency Analysis of the QCD Running Coupling α _s(Q) in Both the Perturbative and Nonperturbative Domains Yu, Qing; Zhou, Hua; Huang, Xu-Dong Chinese Physics Letters, Vol. 39, Issue 7 https://doi.org/10.1088/0256-307X/39/7/071201	journal	June 2022
Systematics of radial and angular-momentum Regge trajectories of light nonstrange q q ¯ -states Masjuan, Pere; Arriola, Enrique Ruiz; Broniowski, Wojciech Physical Review D, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevD.85.094006	journal	May 2012
On the generalized ward identity Takahashi, Y. Il Nuovo Cimento, Vol. 6, Issue 2 https://doi.org/10.1007/BF02832514	journal	August 1957
Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter International Journal of Modern Physics A, Vol. 31, Issue 19 https://doi.org/10.1142/S0217751X16300295	journal	July 2016
The strong coupling constant at small momentum as an instanton detector Boucaud, Philippe; Yaouanc, Alain Le; Leroy, Jean Pierre Journal of High Energy Physics, Vol. 2003, Issue 04 https://doi.org/10.1088/1126-6708/2003/04/005	journal	April 2003
Analytical study of Yang–Mills theory in the infrared from first principles Siringo, Fabio Nuclear Physics B, Vol. 907 https://doi.org/10.1016/j.nuclphysb.2016.04.028	journal	June 2016
Determination of the neutron spin structure function Anthony, P. L.; Arnold, R. G.; Band, H. R. Physical Review Letters, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevLett.71.959	journal	August 1993
Precise determination of $$\alpha _{S}(M_Z)$$ α S ( M Z ) from a global fit of energy–energy correlation to NNLO+NNLL predictions Kardos, Adam; Kluth, Stefan; Somogyi, Gábor The European Physical Journal C, Vol. 78, Issue 6 https://doi.org/10.1140/epjc/s10052-018-5963-1	journal	June 2018
New parton distribution functions from a global analysis of quantum chromodynamics Dulat, Sayipjamal; Hou, Tie-Jiun; Gao, Jun Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.033006	journal	February 2016
Renormalizability of the critical limit of lattice gauge theory by BRS invariance Zwanziger, Daniel Nuclear Physics B, Vol. 399, Issue 2-3 https://doi.org/10.1016/0550-3213(93)90506-K	journal	July 1993
Parton distributions in the LHC era: MMHT 2014 PDFs Harland-Lang, L. A.; Martin, A. D.; Motylinski, P. The European Physical Journal C, Vol. 75, Issue 5 https://doi.org/10.1140/epjc/s10052-015-3397-6	journal	May 2015
Three-loop beta function and non-perturbative α _s in asymmetric momentum scheme Boucaud, Philippe; Leroy, Jean-Pierre; Micheli, Jacques Journal of High Energy Physics, Vol. 1998, Issue 12 https://doi.org/10.1088/1126-6708/1998/12/004	journal	December 1998
Structure of the neutral pion and its electromagnetic transition form factor Raya, Khépani; Chang, Lei; Bashir, Adnan Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.074017	journal	April 2016
Measurement of α s ( M Z 2 ) from hadronic event observables at the Z 0 resonance Abe, K.; Abt, I.; Ahn, C. J. Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.962	journal	February 1995
Generalized pinch technique and the background field method in general gauges Pilaftsis, Apostolos Nuclear Physics B, Vol. 487, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00686-4	journal	March 1997
Systematic scale-setting to all orders: The principle of maximum conformality and commensurate scale relations Brodsky, Stanley J.; Mojaza, Matin; Wu, Xing-Gang Physical Review D, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevD.89.014027	journal	January 2014
Superconformal quantum mechanics Fubini, S.; Rabinovici, E. Nuclear Physics B, Vol. 245 https://doi.org/10.1016/0550-3213(84)90422-X	journal	January 1984
Dynamical fermions, centre vortices, and emergent phenomena Leinweber, Derek; Biddle, James; Kamleh, Waseem EPJ Web of Conferences, Vol. 274 https://doi.org/10.1051/epjconf/202227401002	journal	January 2022
Role of center vortices in chiral symmetry breaking in SU(3) gauge theory Bowman, Patrick O.; Langfeld, Kurt; Leinweber, Derek B. Physical Review D, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevD.84.034501	journal	August 2011
Determination of Λ MS ¯ ( n f = 2 ) and analytic parametrization of the static quark-antiquark potential Karbstein, Felix; Wagner, Marc; Weber, Michelle Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevD.98.114506	journal	December 2018
The gell-mann-low function of QCD in the three-loop approximation Tarasov, O. V.; Vladimirov, A. A.; Zharkov, A. Yu. Physics Letters B, Vol. 93, Issue 4 https://doi.org/10.1016/0370-2693(80)90358-5	journal	June 1980
Measurements of αs in e+e− annihilation at √s=53.3 GeV and 59.5 GeV Adachi, I.; Aihara, H.; Doser, M. Physics Letters B, Vol. 227, Issue 3-4 https://doi.org/10.1016/0370-2693(89)90969-6	journal	August 1989
A determination of? s( $$M_{Z^0 } $$ ) at LEP using resummed QCD calculations Acton, P. D.; Alexander, G.; Allison, J. Zeitschrift f�r Physik C: Particles and Fields, Vol. 59, Issue 1 https://doi.org/10.1007/BF01555834	journal	March 1993
Renormalization-prescription dependence of the quantum-chromodynamic coupling constant Celmaster, William; Gonsalves, Richard J. Physical Review D, Vol. 20, Issue 6 https://doi.org/10.1103/PhysRevD.20.1420	journal	September 1979
Proton and pion distribution functions in counterpoint Lu, Ya; Chang, Lei; Raya, Khépani Physics Letters B, Vol. 830 https://doi.org/10.1016/j.physletb.2022.137130	journal	July 2022
Introduction to complex orbital momenta Regge, T. Il Nuovo Cimento, Vol. 14, Issue 5 https://doi.org/10.1007/BF02728177	journal	December 1959
High precision determination of the gluon fusion Higgs boson cross-section at the LHC Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)058	journal	May 2016
The five-loop beta function of Yang-Mills theory with fermions Herzog, F.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)090	journal	February 2017
Update: Accurate determinations of α s from realistic lattice QCD Davies, C. T. H.; Hornbostel, K.; Kendall, I. D. Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114507	journal	December 2008
Constraints on large- x parton distributions from new weak boson production and deep-inelastic scattering data Accardi, A.; Brady, L. T.; Melnitchouk, W. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114017	journal	June 2016
Version 3 of RunDec and CRunDec Herren, Florian; Steinhauser, Matthias Computer Physics Communications, Vol. 224 https://doi.org/10.1016/j.cpc.2017.11.014	journal	March 2018
Reliable Perturbative Results for Strong Interactions? Politzer, H. David Physical Review Letters, Vol. 30, Issue 26 https://doi.org/10.1103/PhysRevLett.30.1346	journal	June 1973
Light-meson leptonic decay rates in lattice QCD + QED Di Carlo, M.; Martinelli, G.; Giusti, D. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034514	journal	August 2019
Quantum Electrodynamics at Small Distances Gell-Mann, M.; Low, F. E. Physical Review, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRev.95.1300	journal	September 1954
Effective confining potentials for QCD Trawiński, Arkadiusz P.; Głazek, Stanisław D.; Brodsky, Stanley J. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074017	journal	October 2014
Gluon propagator and three-gluon vertex with dynamical quarks Aguilar, A. C.; De Soto, F.; Ferreira, M. N. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-020-7741-0	journal	February 2020
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 Abramowicz, H.; Abt, I.; Adamczyk, L. The European Physical Journal C, Vol. 75, Issue 12 https://doi.org/10.1140/epjc/s10052-015-3710-4	journal	December 2015
Lattice study of the vacuum polarization function and determination of the strong coupling constant Shintani, E.; Aoki, S.; Chiu, T. W. Physical Review D, Vol. 79, Issue 7 https://doi.org/10.1103/PhysRevD.79.074510	journal	April 2009
Determination of $$\alpha _{S}$$ beyond NNLO using event shape averages Kardos, Adam; Somogyi, Gábor; Verbytskyi, Andrii The European Physical Journal C, Vol. 81, Issue 4 https://doi.org/10.1140/epjc/s10052-021-08975-3	journal	April 2021
Science Requirements and Detector Concepts for the Electron-Ion Collider Abdul Khalek, R.; Accardi, A.; Adam, J. Nuclear Physics A, Vol. 1026 https://doi.org/10.1016/j.nuclphysa.2022.122447	journal	October 2022
Connecting the hadron mass scale to the fundamental mass scale of quantum chromodynamics Deur, A.; Brodsky, S. J.; de Teramond, G. F. Physics Letters B, Vol. 750 https://doi.org/10.1016/j.physletb.2015.09.063	journal	November 2015
Update of the global electroweak fit and constraints on two-Higgs-doublet models Haller, J.; Hoecker, A.; Kogler, R. The European Physical Journal C, Vol. 78, Issue 8 https://doi.org/10.1140/epjc/s10052-018-6131-3	journal	August 2018
Concerning pion parton distributions Cui, Z. -F.; Ding, M.; Morgado, J. M. The European Physical Journal A, Vol. 58, Issue 1 https://doi.org/10.1140/epja/s10050-021-00658-7	journal	January 2022
Precision determination of the strong coupling constant within a global PDF analysis: NNPDF Collaboration Ball, Richard D.; Carrazza, Stefano; Debbio, Luigi Del The European Physical Journal C, Vol. 78, Issue 5 https://doi.org/10.1140/epjc/s10052-018-5897-7	journal	May 2018
On the Theory of Dispersion of X-Rays de L. Kronig, R. Journal of the Optical Society of America, Vol. 12, Issue 6 https://doi.org/10.1364/JOSA.12.000547	journal	January 1926
Transverse force on transversely polarized quarks in longitudinally polarized nucleons Abdallah, Manal; Burkardt, Matthias Physical Review D, Vol. 94, Issue 9 https://doi.org/10.1103/PhysRevD.94.094040	journal	November 2016
Lattice-motivated QCD coupling and hadronic contribution to muon g − 2 Cvetič, Gorazd; Kögerler, Reinhart Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 5 https://doi.org/10.1088/1361-6471/abd259	journal	April 2021
Strong coupling from hadronic τ decays: A critical appraisal Boito, Diogo; Golterman, Maarten; Maltman, Kim Physical Review D, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevD.95.034024	journal	February 2017
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 Sirunyan, A. M.; Tumasyan, A.; Adam, W. Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)018	journal	June 2020
Perturbative QCD corrections to the ratio R for τ decay Braaten, Eric Physical Review D, Vol. 39, Issue 5 https://doi.org/10.1103/PhysRevD.39.1458	journal	March 1989
Deep inelastic scattering of polarized electrons by polarized He 3 and the study of the neutron spin structure Anthony, P. L.; Arnold, R. G.; Band, H. R. Physical Review D, Vol. 54, Issue 11 https://doi.org/10.1103/PhysRevD.54.6620	journal	December 1996
Goldstone theorem and diquark confinement beyond rainbow-ladder approximation Bender, A.; Roberts, C. D.; Smekal, L. v. Physics Letters B, Vol. 380, Issue 1-2 https://doi.org/10.1016/0370-2693(96)00372-3	journal	July 1996
Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow Kitazawa, Masakiyo; Iritani, Takumi; Asakawa, Masayuki Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114512	journal	December 2016
Is the QCD ghost dressing function finite at zero momentum ? Boucaud, Philippe; Brüntjen, Thorsten; Leroy, Jean Pierre Journal of High Energy Physics, Vol. 2006, Issue 06 https://doi.org/10.1088/1126-6708/2006/06/001	journal	June 2006
Quantization of non-Abelian gauge theories Gribov, V. N. Nuclear Physics B, Vol. 139, Issue 1-2 https://doi.org/10.1016/0550-3213(78)90175-X	journal	June 1978
Mesons in a relativized quark model with chromodynamics Godfrey, Stephen; Isgur, Nathan Physical Review D, Vol. 32, Issue 1 https://doi.org/10.1103/PhysRevD.32.189	journal	July 1985
Analysis of the energy weighted angular correlations in hadronice + e ? annihilations at 22 and 34 GeV Behrend, H. -J.; Chen, Ch.; Fenner, H. Zeitschrift f�r Physik C Particles and Fields, Vol. 14, Issue 2 https://doi.org/10.1007/BF01495029	journal	June 1982
Consistent OPE description of gluon two- and three-point Green functions? Boucaud, Ph; Le Yaouanc, A.; Leroy, J. P. Physics Letters B, Vol. 493, Issue 3-4 https://doi.org/10.1016/S0370-2693(00)01149-7	journal	November 2000
Strong coupling from e + e − → hadrons below charm Boito, Diogo; Golterman, Maarten; Keshavarzi, Alexander Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074030	journal	October 2018
Effective quark masses in the chiral limit Politzer, H. David Nuclear Physics B, Vol. 117, Issue 2 https://doi.org/10.1016/0550-3213(76)90405-3	journal	December 1976
Extraction of the strong coupling αs(mZ) from a combined NNLO analysis of inclusive electroweak boson cross sections at hadron colliders d’Enterria, David; Poldaru, Andres Journal of High Energy Physics, Vol. 2020, Issue 6 https://doi.org/10.1007/JHEP06(2020)016	journal	June 2020
Strong coupling constant from moments of quarkonium correlators revisited Petreczky, Peter; Weber, Johannes Heinrich The European Physical Journal C, Vol. 82, Issue 1 https://doi.org/10.1140/epjc/s10052-022-09998-0	journal	January 2022
Spectral functions of confined particles Binosi, Daniele; Tripolt, Ralf-Arno Physics Letters B, Vol. 801 https://doi.org/10.1016/j.physletb.2019.135171	journal	February 2020
Confinement of quarks Wilson, Kenneth G. Physical Review D, Vol. 10, Issue 8 https://doi.org/10.1103/PhysRevD.10.2445	journal	October 1974
Measurement of the neutron spin structure function gn1 with a polarized 3He internal target Ackerstaff, K.; Airapetian, A.; Akushevich, I. Physics Letters B, Vol. 404, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00611-4	journal	July 1997
QCD gluon vertices from the string-inspired formalism Ahmadiniaz, Naser; Schubert, Christian International Journal of Modern Physics E, Vol. 25, Issue 07 https://doi.org/10.1142/S0218301316420040	journal	July 2016
Ghost-gluon running coupling, power corrections, and the determination of Λ MS ¯ Boucaud, Ph.; De Soto, F.; Leroy, J. P. Physical Review D, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevD.79.014508	journal	January 2009
Threefold complementary approach to holographic QCD Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter Physics Letters B, Vol. 729 https://doi.org/10.1016/j.physletb.2013.12.044	journal	February 2014
Toward TeV Conformality Appelquist, T.; Avakian, A.; Babich, R. Physical Review Letters, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevLett.104.071601	journal	February 2010
Infrared facets of the three-gluon vertex Aguilar, A. C.; De Soto, F.; Ferreira, M. N. Physics Letters B, Vol. 818 https://doi.org/10.1016/j.physletb.2021.136352	journal	July 2021
Dyson–Schwinger Equations: A Tool for Hadron Physics Maris, Pieter; Roberts, Craig D. International Journal of Modern Physics E, Vol. 12, Issue 03 https://doi.org/10.1142/S0218301303001326	journal	June 2003
Spectrum of Charmed Quark-Antiquark Bound States Eichten, E.; Gottfried, K.; Kinoshita, T. Physical Review Letters, Vol. 34, Issue 6 https://doi.org/10.1103/PhysRevLett.34.369	journal	February 1975
Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD Petreczky, P.; Weber, J. H. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034519	journal	August 2019
The next-next-to-leading QCD approximation for non-singlet moments of deep inelastic structure functions Larin, S. A.; van Ritbergen, T.; Vermaseren, J. A. M. Nuclear Physics B, Vol. 427, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90268-2	journal	September 1994
Nucleon axial form factor at large momentum transfers Chen, Chen; Roberts, Craig D. The European Physical Journal A, Vol. 58, Issue 10 https://doi.org/10.1140/epja/s10050-022-00848-x	journal	October 2022
Forms of Relativistic Dynamics Dirac, P. A. M. Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.392	journal	July 1949
Infrared propagators of Yang-Mills theory from perturbation theory Tissier, Matthieu; Wschebor, Nicolás Physical Review D, Vol. 82, Issue 10 https://doi.org/10.1103/PhysRevD.82.101701	journal	November 2010
Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD Nakayama, Katsumasa; Fukaya, Hidenori; Hashimoto, Shoji Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014501	journal	July 2018
Slavnov-Taylor identities in Weinberg's renormalization scheme Pascual, P.; Tarrach, R. Nuclear Physics B, Vol. 174, Issue 1 https://doi.org/10.1016/0550-3213(80)90193-5	journal	November 1980
Measurements of the Proton and Deuteron Spin Structure Function g 2 and Asymmetry A 2 Abe, K.; Akagi, T.; Anthony, P. L. Physical Review Letters, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevLett.76.587	journal	January 1996
Testing perturbation theory on the Nf=0 static quark potential Necco, Silvia; Sommer, Rainer Physics Letters B, Vol. 523, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)01298-9	journal	December 2001
New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach Dudal, D.; Sorella, S. P.; Vandersickel, N. Physical Review D, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevD.77.071501	journal	April 2008
Five-Loop Running of the QCD Coupling Constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.082002	journal	February 2017
Gluon condensates and effective gluon mass Horak, Jan; Ihssen, Friederike; Papavassiliou, Joannis SciPost Physics, Vol. 13, Issue 2 https://doi.org/10.21468/SciPostPhys.13.2.042	journal	August 2022
An improved measuremebts of αS (MZ0) using energy correlations with the OPAL detector at LEP Acton, P. D.; Alexander, G.; Allison, J. Physics Letters B, Vol. 276, Issue 4 https://doi.org/10.1016/0370-2693(92)91681-X	journal	February 1992
Perturbative expansion of τ hadronic spectral function moments and α s extractions Beneke, Martin; Boito, Diogo; Jamin, Matthias Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)125	journal	January 2013
Detailed analysis of the three-quark potential in SU(3) lattice QCD Takahashi, T. T.; Suganuma, H.; Nemoto, Y. Physical Review D, Vol. 65, Issue 11 https://doi.org/10.1103/PhysRevD.65.114509	journal	June 2002
Landau gauge Yang-Mills correlation functions Cyrol, Anton K.; Fister, Leonard; Mitter, Mario Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054005	journal	September 2016
Measurements of energy correlations ine + e ??hadrons Bartel, W.; Becker, L.; Bowdery, C. Zeitschrift f�r Physik C Particles and Fields, Vol. 25, Issue 3 https://doi.org/10.1007/BF01547922	journal	September 1984
Determination of the strong coupling constant using inclusive jet cross section data from multiple experiments Britzger, Daniel; Rabbertz, Klaus; Savoiu, Daniel The European Physical Journal C, Vol. 79, Issue 1 https://doi.org/10.1140/epjc/s10052-019-6551-8	journal	January 2019
Applications of the Chiral U ( 6 ) ⊗ U ( 6 ) Algebra of Current Densities Bjorken, J. D. Physical Review, Vol. 148, Issue 4 https://doi.org/10.1103/PhysRev.148.1467	journal	August 1966
Determination of α(Mz) from an hyperasymptotic approximation to the energy of a static quark-antiquark pair Ayala, Cesar; Lobregat, Xabier; Pineda, Antonio Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)016	journal	September 2020
Smoothing algorithms for projected center-vortex gauge fields Virgili, Adam; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014505	journal	July 2022
The Determination of the Strong Coupling Constant Dissertori, Günther Advanced Series on Directions in High Energy Physics https://doi.org/10.1142/9789814733519_0006	book	August 2016
The 3-loop QCD calculation of the moments of deep inelastic structure functions Larin, S. A.; Nogueira, P.; van Ritbergen, T. Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80038-7	journal	May 1997
Problems on Lattice Gauge Fixing Giusti, L.; Paciello, M. L.; Petrarca, S. International Journal of Modern Physics A, Vol. 16, Issue 21 https://doi.org/10.1142/S0217751X01004281	journal	August 2001
Why $$\alpha _s$$ cannot be determined from hadronic processes without simultaneously determining the parton distributions Forte, Stefano; Kassabov, Zahari The European Physical Journal C, Vol. 80, Issue 3 https://doi.org/10.1140/epjc/s10052-020-7748-6	journal	February 2020
Precision Measurement of the Proton Spin Structure Function g 1 p Abe, K.; Akagi, T.; Anthony, P. L. Physical Review Letters, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevLett.74.346	journal	January 1995
The Infrared Behaviour of the Pure Yang–Mills Green Functions Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, A. Few-Body Systems, Vol. 53, Issue 3-4 https://doi.org/10.1007/s00601-011-0301-2	journal	January 2012
Factorization and asymptotic behaviour of pion form factor in QCD Efremov, A. V.; Radyushkin, A. V. Physics Letters B, Vol. 94, Issue 2 https://doi.org/10.1016/0370-2693(80)90869-2	journal	July 1980
α _s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory Beneke, Martin; Jamin, Matthias Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/044	journal	September 2008
Reconciling the contour-improved and fixed-order approaches for τ hadronic spectral moments. Part I. Renormalon-free gluon condensate scheme Benitez-Rathgeb, Miguel A.; Boito, Diogo; Hoang, André H. Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)016	journal	July 2022
Computation of the running coupling in the SU(2) Yang-Mills theory Lüscher, Martin; Sommer, Rainer; Wolff, Ulli Nuclear Physics B, Vol. 389, Issue 1 https://doi.org/10.1016/0550-3213(93)90292-W	journal	January 1993
Infrared behavior of non-Abelian gauge theories. II Cornwall, John M.; Tiktopoulos, George Physical Review D, Vol. 15, Issue 10 https://doi.org/10.1103/PhysRevD.15.2937	journal	May 1977
Universal effective hadron dynamics from superconformal algebra Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter Physics Letters B, Vol. 759 https://doi.org/10.1016/j.physletb.2016.05.068	journal	August 2016
Baryons as relativistic three-quark bound states Eichmann, Gernot; Sanchis-Alepuz, Hèlios; Williams, Richard Progress in Particle and Nuclear Physics, Vol. 91 https://doi.org/10.1016/j.ppnp.2016.07.001	journal	November 2016
Calculation of electroproduction to NNLO and precision determination of αs Santiago, J.; Ynduráin, F. J. Nuclear Physics B, Vol. 563, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00441-1	journal	December 1999
The three-loop relation between the and the pole quark masses Melnikov, Kirill; Ritbergen, Timo van Physics Letters B, Vol. 482, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00507-4	journal	June 2000
Ward identities and charge renormalization of the Yang-Mills field Taylor, J. C. Nuclear Physics B, Vol. 33, Issue 2 https://doi.org/10.1016/0550-3213(71)90297-5	journal	November 1971
A fixed-target programme at the LHC: Physics case and projected performances for heavy-ion, hadron, spin and astroparticle studies Hadjidakis, C.; Kikoła, D.; Lansberg, J. P. Physics Reports, Vol. 911 https://doi.org/10.1016/j.physrep.2021.01.002	journal	May 2021
Partonic structure of neutral pseudoscalars via two photon transition form factors Raya, Khépani; Ding, Minghui; Bashir, Adnan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074014	journal	April 2017
The QCD running coupling Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Progress in Particle and Nuclear Physics, Vol. 90 https://doi.org/10.1016/j.ppnp.2016.04.003	journal	September 2016
Quantum superconformal model in (1, 2) space Akulov, V. P.; Pashnev, A. I. Theoretical and Mathematical Physics, Vol. 56, Issue 3 https://doi.org/10.1007/BF01086252	journal	September 1983
Determination of the deep inelastic contribution to the generalised Gerasimov-Drell-Hearn integral for the proton and neutron Ackerstaff, K.; Airapetian, A.; Akopov, N. Physics Letters B, Vol. 444, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)01396-3	journal	December 1998
The S Matrix in Quantum Electrodynamics Dyson, F. J. Physical Review, Vol. 75, Issue 11 https://doi.org/10.1103/PhysRev.75.1736	journal	June 1949
Scale-setting, flavor dependence, and chiral symmetry restoration Binosi, Daniele; Roberts, Craig D.; Rodríguez-Quintero, José Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114009	journal	June 2017
Emergent Hadron Mass in Strong Dynamics Binosi, Daniele Few-Body Systems, Vol. 63, Issue 2 https://doi.org/10.1007/s00601-022-01740-6	journal	April 2022
Small distance behaviour in field theory and power counting Symanzik, K. Communications in Mathematical Physics, Vol. 18, Issue 3 https://doi.org/10.1007/BF01649434	journal	September 1970
The deuteron spin-dependent structure function g1d and its first moment Alexakhin, V. Yu.; Alexandrov, Yu.; Alexeev, G. D. Physics Letters B, Vol. 647, Issue 1 https://doi.org/10.1016/j.physletb.2006.12.076	journal	March 2007
Measurement of the proton spin structure function g1p with a pure hydrogen target Airapetian, A.; Akopov, N.; Akushevich, I. Physics Letters B, Vol. 442, Issue 1-4 https://doi.org/10.1016/S0370-2693(98)01341-0	journal	December 1998
Quark masses and strong coupling constant in 2 + 1 flavor QCD Maezawa, Y.; Petreczky, P. Physical Review D, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRevD.94.034507	journal	August 2016
Deconfinement transition in SU( N ) theories from perturbation theory Reinosa, U.; Serreau, J.; Tissier, M. Physics Letters B, Vol. 742 https://doi.org/10.1016/j.physletb.2015.01.006	journal	March 2015
Nonperturbative properties of Yang–Mills theories Huber, Markus Q. Physics Reports, Vol. 879 https://doi.org/10.1016/j.physrep.2020.04.004	journal	October 2020
Nonperturbative QCD, Gauge-Fixing, Gribov Copies and the Lattice Williams, Anthony G. Progress of Theoretical Physics Supplement, Vol. 151 https://doi.org/10.1143/PTPS.151.154	journal	January 2003
Measurements of the Q2-dependence of the proton and neutron spin structure functions g1p and g1n Anthony, P. L.; Arnold, R. G.; Averett, T. Physics Letters B, Vol. 493, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)01014-5	journal	November 2000
High precision determination of the Q 2 evolution of the Bjorken sum Deur, A.; Prok, Y.; Burkert, V. Physical Review D, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevD.90.012009	journal	July 2014
Radiative Corrections to Elastic and Inelastic ep and up Scattering Mo, L. W.; Tsai, Y. S. Reviews of Modern Physics, Vol. 41, Issue 1 https://doi.org/10.1103/RevModPhys.41.205	journal	January 1969
Gauge Sector Dynamics in QCD Ferreira, Mauricio Narciso; Papavassiliou, Joannis Particles, Vol. 6, Issue 1 https://doi.org/10.3390/particles6010017	journal	February 2023
Probing an intrinsically flavorful ALP via tau-lepton flavor physics Cui, Chuan-Xin; Ishida, Hiroyuki; Matsuzaki, Shinya Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.095033	journal	May 2022
Bethe–Salpeter kernel and properties of strange-quark mesons Xu, Zhen-Ni; Yao, Zhao-Qian; Qin, Si-Xue The European Physical Journal A, Vol. 59, Issue 3 https://doi.org/10.1140/epja/s10050-023-00951-7	journal	March 2023
Can the QCD running coupling have a causal analyticity structure? Gardi, Einan; Karliner, Marek; Grunberg, Georges Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/007	journal	July 1998
Determining wave equations in holographic QCD from Wilsonian renormalization group Gao, Fei; Yamada, Masatoshi Physical Review D, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevD.106.126003	journal	December 2022
Static energy in ( 2+1+1 )-flavor lattice QCD: Scale setting and charm effects Brambilla, Nora; Delgado, Rafael L.; Kronfeld, Andreas S. Physical Review D, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevD.107.074503	journal	April 2023
Non-perturbative modification of the Faddeev-Popov formula and banishment of the naive vacuum Zwanziger, Daniel Nuclear Physics B, Vol. 209, Issue 2 https://doi.org/10.1016/0550-3213(82)90260-7	journal	December 1982
On the interface between perturbative and nonperturbative QCD Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Physics Letters B, Vol. 757 https://doi.org/10.1016/j.physletb.2016.03.077	journal	June 2016
Inelastic Electron-Proton and γ -Proton Scattering and the Structure of the Nucleon Bjorken, J. D.; Paschos, E. A. Physical Review, Vol. 185, Issue 5 https://doi.org/10.1103/PhysRev.185.1975	journal	September 1969
Running coupling in Yang-Mills theory: A flow equation study Gies, Holger Physical Review D, Vol. 66, Issue 2 https://doi.org/10.1103/PhysRevD.66.025006	journal	July 2002
Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet Lee, Nam-Young; Goeke, K.; Weiss, C. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054008	journal	January 2002
Better jet clustering algorithms Dokshitzer, Yu. L.; Leder, G. D.; Moretti, S. Journal of High Energy Physics, Vol. 1997, Issue 08 https://doi.org/10.1088/1126-6708/1997/08/001	journal	August 1997
Order α2S contributions to the deep inelastic Wilson coefficient van Neerven, W. L.; Zijlstra, E. B. Physics Letters B, Vol. 272, Issue 1-2 https://doi.org/10.1016/0370-2693(91)91024-P	journal	November 1991
Time-independent stochastic quantization, Dyson-Schwinger equations, and infrared critical exponents in QCD Zwanziger, Daniel Physical Review D, Vol. 67, Issue 10 https://doi.org/10.1103/PhysRevD.67.105001	journal	May 2003
The gluon is massive: A lattice calculation of the gluon propagator in the Landau gauge Mandula, J. E.; Ogilvie, M. Physics Letters B, Vol. 185, Issue 1-2 https://doi.org/10.1016/0370-2693(87)91541-3	journal	February 1987
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” Boucaud, Ph.; De Soto, F.; Rodríguez-Quintero, J. Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.098501	journal	November 2017
Two-loop corrections to the QCD propagators within the Curci-Ferrari model Barrios, Nahuel; Gracey, John A.; Peláez, Marcela Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094019	journal	November 2021
Gerasimov-Drell-Hearn sum rule and related integrals Drechsel, D.; Kamalov, S. S.; Tiator, L. Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114010	journal	April 2001
Exact Sum Rule for Nucleon Magnetic Moments Drell, S. D.; Hearn, A. C. Physical Review Letters, Vol. 16, Issue 20 https://doi.org/10.1103/PhysRevLett.16.908	journal	May 1966
On the phase structure of vector-like gauge theories with massless fermions Banks, T.; Zaks, A. Nuclear Physics B, Vol. 196, Issue 2 https://doi.org/10.1016/0550-3213(82)90035-9	journal	March 1982
Revealing pion and kaon structure via generalised parton distributions * Raya, K.; Cui, Z. -F.; Chang, L. Chinese Physics C, Vol. 46, Issue 1 https://doi.org/10.1088/1674-1137/ac3071	journal	January 2022
On the running coupling constant in QCD Prosperi, G. M.; Raciti, M.; Simolo, C. Progress in Particle and Nuclear Physics, Vol. 58, Issue 2 https://doi.org/10.1016/j.ppnp.2006.09.001	journal	April 2007
Testing the Landau gauge operator product expansion on the lattice with a 〈 A 2 〉 condensate Boucaud, Ph.; Yaouanc, A. Le; Leroy, J. P. Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114003	journal	April 2001
Lattice determinations of the strong coupling Del Debbio, Luigi; Ramos, Alberto Physics Reports, Vol. 920 https://doi.org/10.1016/j.physrep.2021.03.005	journal	July 2021
The running coupling from SU (3) lattice gauge theory Booth, S. P.; Henty, D. S.; Hulsebos, A. Physics Letters B, Vol. 294, Issue 3-4 https://doi.org/10.1016/0370-2693(92)91538-K	journal	November 1992
Determination of αs from hadronic event shapes measured on the Z0 resonance Adrian, O.; Aguilar-Benitez, M.; Ahlen, S. Physics Letters B, Vol. 284, Issue 3-4 https://doi.org/10.1016/0370-2693(92)90463-E	journal	June 1992
The Schrödinger functional — a renormalizable probe for non-abelian gauge theories Lüscher, Martin; Narayanan, Rajamani; Weisz, Peter Nuclear Physics B, Vol. 384, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90466-O	journal	October 1992
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 Aaboud, M.; Aad, G.; Abbott, B. The European Physical Journal C, Vol. 77, Issue 12 https://doi.org/10.1140/epjc/s10052-017-5442-0	journal	December 2017
Five-loop renormalisation of QCD in covariant gauges Chetyrkin, K. G.; Falcioni, G.; Herzog, F. Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)179	journal	October 2017
Determination of 55-155-155-1in second order QCD from hadronicZ decays Zeitschrift für Physik C Particles and Fields, Vol. 54, Issue 1 https://doi.org/10.1007/BF01881708	journal	March 1992
QCD sum rule calculation of twist-3 contributions to polarized nucleon structure functions Stein, E.; Górnicki, P.; Mankiewicz, L. Physics Letters B, Vol. 343, Issue 1-4 https://doi.org/10.1016/0370-2693(94)01443-G	journal	January 1995
New analyses of event shape observables in electron-positron annihilation and the determination of αs running behavior in perturbative domain Wang, Sheng-Quan; Luo, Chao-Qin; Wu, Xing-Gang Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)137	journal	September 2022
Generalized Gerasimov-Drell-Hearn sum rule for the proton-neutron difference in chiral perturbation theory Burkert, Volker D. Physical Review D, Vol. 63, Issue 9 https://doi.org/10.1103/PhysRevD.63.097904	journal	April 2001
The theory of quark confinement Gribov, Vladimir The European Physical Journal C, Vol. 10, Issue 1 https://doi.org/10.1007/s100529900052	journal	August 1999
Vortex structures in pureSU(3)lattice gauge theory Langfeld, Kurt Physical Review D, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevD.69.014503	journal	January 2004
Measurement of energy-energy correlations in e + e − →hadrons at √s =29 GeV Fernandez, E.; Ford, W. T.; Qi, N. Physical Review D, Vol. 31, Issue 11 https://doi.org/10.1103/PhysRevD.31.2724	journal	June 1985
Locating the Gribov horizon Gao, Fei; Qin, Si-Xue; Roberts, Craig D. Physical Review D, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevD.97.034010	journal	February 2018
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 Andreev, V.; Baghdasaryan, A.; Begzsuren, K. The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5314-7	journal	November 2017
Reconciling the contour-improved and fixed-order approaches for τ hadronic spectral moments. Part II. Renormalon norm and application in αs determinations Benitez-Rathgeb, Miguel A.; Boito, Diogo; Hoang, André H. Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)223	journal	September 2022
Asymptotic freedom in parton language Altarelli, G.; Parisi, G. Nuclear Physics B, Vol. 126, Issue 2 https://doi.org/10.1016/0550-3213(77)90384-4	journal	August 1977
An investigation of the $$\alpha _S$$ and heavy quark mass dependence in the MSHT20 global PDF analysis Cridge, T.; Harland-Lang, L. A.; Martin, A. D. The European Physical Journal C, Vol. 81, Issue 8 https://doi.org/10.1140/epjc/s10052-021-09533-7	journal	August 2021
Determination of αs from static QCD potential: OPE with renormalon subtraction and lattice QCD Takaura, Hiromasa; Kaneko, Takashi; Kiyo, Yuichiro Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/JHEP04(2019)155	journal	April 2019
Bridging a gap between continuum-QCD and ab initio predictions of hadron observables Binosi, Daniele; Chang, Lei; Papavassiliou, Joannis Physics Letters B, Vol. 742 https://doi.org/10.1016/j.physletb.2015.01.031	journal	March 2015
Renormalization flow of bound states Gies, Holger; Wetterich, Christof Physical Review D, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevD.65.065001	journal	February 2002
New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC Hou, Tie-Jiun; Gao, Jun; Hobbs, T. J. Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014013	journal	January 2021
Strings, monopoles, and gauge fields Nambu, Y. Physical Review D, Vol. 10, Issue 12 https://doi.org/10.1103/PhysRevD.10.4262	journal	December 1974
Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior Wilson, Kenneth G. Physical Review B, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevB.4.3184	journal	November 1971
The heavy quark potential and the ϒ, J/ψ systems Richardson, John L. Physics Letters B, Vol. 82, Issue 2 https://doi.org/10.1016/0370-2693(79)90753-6	journal	March 1979
Calculation of the nonperturbative strong coupling from first principles Siringo, Fabio Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevD.100.074014	journal	October 2019
On the Green's functions of quantized fields. I Schwinger, J. Proceedings of the National Academy of Sciences, Vol. 37, Issue 7 https://doi.org/10.1073/pnas.37.7.452	journal	July 1951
QCD β -function on the string worldsheet Dubovsky, Sergei Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevD.98.114025	journal	December 2018
Indirect determination of the Kugo-Ojima function from lattice data Aguilar, A. C.; Binosi, D.; Papavassiliou, J. Journal of High Energy Physics, Vol. 2009, Issue 11 https://doi.org/10.1088/1126-6708/2009/11/066	journal	November 2009
Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering Bloom, E. D.; Gilman, F. J. Physical Review Letters, Vol. 25, Issue 16 https://doi.org/10.1103/PhysRevLett.25.1140	journal	October 1970
Strong coupling from an improved τ vector isovector spectral function Boito, Diogo; Golterman, Maarten; Maltman, Kim Physical Review D, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevD.103.034028	journal	February 2021
Review of Particle Physics Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
Quadratic mass corrections of order to the decay rate of Z- and W-bosons Chetyrkin, K. G.; Kühn, J. H. Physics Letters B, Vol. 406, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)00631-X	journal	July 1997
Dyson-Schwinger equations and their application to hadronic physics Roberts, Craig D.; Williams, Anthony G. Progress in Particle and Nuclear Physics, Vol. 33 https://doi.org/10.1016/0146-6410(94)90049-3	journal	January 1994
Gauge Invariance and Mass Schwinger, Julian Physical Review, Vol. 125, Issue 1 https://doi.org/10.1103/PhysRev.125.397	journal	January 1962
Spin Sum Rules and the Strong Coupling Constant at large distance Deur, A.; Chen, Jian-Ping; Slifer, Karl SPIN STRUCTURE AT LONG DISTANCE: Workshop Proceedings, AIP Conference Proceedings https://doi.org/10.1063/1.3203292	conference	January 2009
Dual-symmetric theory of hadrons.—I Susskind, L. Il Nuovo Cimento A Series 10, Vol. 69, Issue 3 https://doi.org/10.1007/BF02726485	journal	October 1970
Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate ⟨ A 2 ⟩ in the Landau gauge Dudal, D.; Oliveira, O.; Vandersickel, N. Physical Review D, Vol. 81, Issue 7 https://doi.org/10.1103/PhysRevD.81.074505	journal	April 2010
Harmonic-Oscillator Analogy for the Veneziano Model Susskind, Leonard Physical Review Letters, Vol. 23, Issue 10 https://doi.org/10.1103/PhysRevLett.23.545	journal	September 1969
Ellis-Jaffe sum rule: The estimates of the next-to-next-to-leading-order QCD corrections Kataev, A. L. Physical Review D, Vol. 50, Issue 9 https://doi.org/10.1103/PhysRevD.50.R5469	journal	November 1994
Nonperturbative Determination of α ( q 2 ) and Its Experimental Implications Sanda, A. I. Physical Review Letters, Vol. 42, Issue 25 https://doi.org/10.1103/PhysRevLett.42.1658	journal	June 1979
Hadronic Regge trajectories: Problems and approaches Inopin, A.; Sharov, G. S. Physical Review D, Vol. 63, Issue 5 https://doi.org/10.1103/PhysRevD.63.054023	journal	February 2001
QCD phase structure at finite temperature and density Fu, Wei-jie; Pawlowski, Jan M.; Rennecke, Fabian Physical Review D, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevD.101.054032	journal	March 2020
Renormalization group improved perturbative QCD Grunberg, G. Physics Letters B, Vol. 95, Issue 1 https://doi.org/10.1016/0370-2693(80)90402-5	journal	September 1980
On the difference between FOPT and CIPT for hadronic tau decays Hoang, André H.; Regner, Christoph The European Physical Journal Special Topics, Vol. 230, Issue 12-13 https://doi.org/10.1140/epjs/s11734-021-00257-z	journal	September 2021
Muon g − 2 and α ( M Z 2 ) : A new data-based analysis Keshavarzi, Alexander; Nomura, Daisuke; Teubner, Thomas Physical Review D, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevD.97.114025	journal	June 2018
Schwinger mechanism for gluons from lattice QCD Aguilar, A. C.; De Soto, F.; Ferreira, M. N. Physics Letters B, Vol. 841 https://doi.org/10.1016/j.physletb.2023.137906	journal	June 2023
On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons de Boer, Jan; Skenderis, Kostas; van Nieuwenhuizen, Peter Physics Letters B, Vol. 367, Issue 1-4 https://doi.org/10.1016/0370-2693(95)01455-1	journal	January 1996
Universality of Generalized Parton Distributions in Light-Front Holographic QCD de Téramond, Guy F.; Liu, Tianbo; Sufian, Raza Sabbir Physical Review Letters, Vol. 120, Issue 18 https://doi.org/10.1103/PhysRevLett.120.182001	journal	May 2018
The role of different schemes in the QCD analysis and determination of the strong coupling Vafaee, A.; Khorramian, A. N. Nuclear Physics B, Vol. 921 https://doi.org/10.1016/j.nuclphysb.2017.06.011	journal	August 2017
γ * γ → η , η ′ transition form factors Ding, Minghui; Raya, Khépani; Bashir, Adnan Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014014	journal	January 2019
Superconformal baryon-meson symmetry and light-front holographic QCD Dosch, Hans Günter; de Téramond, Guy F.; Brodsky, Stanley J. Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.085016	journal	April 2015
Aspects of the functional renormalisation group Pawlowski, Jan M. Annals of Physics, Vol. 322, Issue 12 https://doi.org/10.1016/j.aop.2007.01.007	journal	December 2007
New clustering algorithm for multijet cross sections in e+e− annihilation Catani, S.; Dokshitzer, Yu. L.; Olsson, M. Physics Letters B, Vol. 269, Issue 3-4 https://doi.org/10.1016/0370-2693(91)90196-W	journal	October 1991
Energy–energy correlation in electron–positron annihilation at NNLL + NNLO accuracy Tulipánt, Zoltán; Kardos, Adam; Somogyi, Gábor The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5320-9	journal	November 2017
On the Green's functions of quantized fields. II Schwinger, J. Proceedings of the National Academy of Sciences, Vol. 37, Issue 7 https://doi.org/10.1073/pnas.37.7.455	journal	July 1951
Dispersive approach to power-behaved contributions in QCD hard processes Dokshitzer, Yu. L.; Marchesini, G.; Webber, B. R. Nuclear Physics B, Vol. 469, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00155-1	journal	June 1996
Analytic structure of the lattice Landau gauge gluon and ghost propagators Falcão, Alexandre F.; Oliveira, Orlando; Silva, Paulo J. Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114518	journal	December 2020
Quark confinement and vortices in massive gauge-invariant QCD Cornwall, John M. Nuclear Physics B, Vol. 157, Issue 3 https://doi.org/10.1016/0550-3213(79)90111-1	journal	October 1979
Lattice calculation of 1/ p ² corrections to α _s and of Λ _(QCD) in the MOM -tilde scheme Boucaud, Philippe; Burgio, Giuseppe; Renzo, Francesco Di Journal of High Energy Physics, Vol. 2000, Issue 04 https://doi.org/10.1088/1126-6708/2000/04/006	journal	March 2000
Determination of perturbative QCD coupling from ALEPH $$\tau $$ decay data using pinched Borel–Laplace and Finite Energy Sum Rules Ayala, César; Cvetič, Gorazd; Teca, Diego The European Physical Journal C, Vol. 81, Issue 10 https://doi.org/10.1140/epjc/s10052-021-09664-x	journal	October 2021
Divergence of Perturbation Theory in Quantum Electrodynamics Dyson, F. J. Physical Review, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRev.85.631	journal	February 1952
Vanishing of zero-momentum lattice gluon propagator and color confinement Zwanziger, Daniel Nuclear Physics B, Vol. 364, Issue 1 https://doi.org/10.1016/0550-3213(91)90581-H	journal	October 1991
Critical Phenomena: field theoretical approach Zinn-Justin, Jean Scholarpedia, Vol. 5, Issue 5 https://doi.org/10.4249/scholarpedia.8346	journal	January 2010
Commensurate scale relations in quantum chromodynamics Brodsky, Stanley J.; Lu, Hung Jung Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3652	journal	April 1995
Measurements of the Q2-dependence of the proton and deuteron spin structure functions g1p and g1d Abe, K.; Akagi, T.; Anthony, P. L. Physics Letters B, Vol. 364, Issue 1 https://doi.org/10.1016/0370-2693(95)01340-2	journal	December 1995
Static Quark-Antiquark Potential in QCD to Three Loops Peter, Markus Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.602	journal	January 1997
QCD effective charge from the three-gluon vertex of the background-field method Binosi, D.; Ibañez, D.; Papavassiliou, J. Physical Review D, Vol. 87, Issue 12 https://doi.org/10.1103/PhysRevD.87.125026	journal	June 2013
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 Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A. The European Physical Journal C, Vol. 75, Issue 6 https://doi.org/10.1140/epjc/s10052-015-3499-1	journal	June 2015
Static QCD potential in coordinate space with quark masses through two loops Melles, Michael Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.074019	journal	September 2000
Running coupling and the Λ parameter from SU(3) lattice simulations Bali, Gunnar S.; Schilling, Klaus Physical Review D, Vol. 47, Issue 2 https://doi.org/10.1103/PhysRevD.47.661	journal	January 1993
Gluon propagator in Feynman gauge by the method of stationary variance Siringo, Fabio Physical Review D, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevD.90.094021	journal	November 2014
Broken Scale Invariance in Scalar Field Theory Callan, Curtis G. Physical Review D, Vol. 2, Issue 8 https://doi.org/10.1103/PhysRevD.2.1541	journal	October 1970
Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass Boucaud, Ph.; De Soto, F.; Raya, K. Physical Review D, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevD.98.114515	journal	December 2018
Space-Time Approach to Non-Relativistic Quantum Mechanics Feynman, R. P. Reviews of Modern Physics, Vol. 20, Issue 2 https://doi.org/10.1103/RevModPhys.20.367	journal	April 1948
QCD sum rule calculation of twist-4 corrections to Bjorken and Ellis-Jaffe sum rules Stein, E.; Górnicki, P.; Mankiewicz, L. Physics Letters B, Vol. 353, Issue 1 https://doi.org/10.1016/0370-2693(95)00544-U	journal	June 1995
B -Meson Gateways to Missing Charmonium Levels Eichten, Estia J.; Lane, Kenneth; Quigg, Chris Physical Review Letters, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevLett.89.162002	journal	September 2002
NLO PDFs from the ABMP16 fit Alekhin, S.; Blümlein, J.; Moch, S. The European Physical Journal C, Vol. 78, Issue 6 https://doi.org/10.1140/epjc/s10052-018-5947-1	journal	June 2018
Quantum chromodynamics Marciano, William; Pagels, Heinz Physics Reports, Vol. 36, Issue 3 https://doi.org/10.1016/0370-1573(78)90208-9	journal	February 1978
First results on the running coupling in QCD with two massless flavours Bode, Achim; Frezzotti, Roberto; Gehrmann, Bernd Physics Letters B, Vol. 515, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00857-7	journal	August 2001
Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics Brodsky, Stanley J.; Shrock, Robert Physics Letters B, Vol. 666, Issue 1 https://doi.org/10.1016/j.physletb.2008.06.054	journal	August 2008
Valence Quark Ratio in the Proton Cui, Zhu-Fang; Gao, Fei; Binosi, Daniele Chinese Physics Letters, Vol. 39, Issue 4 https://doi.org/10.1088/0256-307X/39/4/041401	journal	April 2022
Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass Nakayama, Katsumasa; Fahy, Brendan; Hashimoto, Shoji Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054507	journal	September 2016
Dynamical chiral symmetry breaking, Goldstone’s theorem, and the consistency of the Schwinger-Dyson and Bethe-Salpeter equations Munczek, H. J. Physical Review D, Vol. 52, Issue 8 https://doi.org/10.1103/PhysRevD.52.4736	journal	October 1995
More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges Capri, M. A. L.; Fiorentini, D.; Guimaraes, M. S. Physical Review D, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevD.93.065019	journal	March 2016
The spin structure of the nucleon Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Reports on Progress in Physics, Vol. 82, Issue 7 https://doi.org/10.1088/1361-6633/ab0b8f	journal	June 2019
Generalized sum rules for spin-dependent structure functions of the nucleon Ji, Xiangdong; Osborne, Jonathan Journal of Physics G: Nuclear and Particle Physics, Vol. 27, Issue 1, p. 127-146 https://doi.org/10.1088/0954-3899/27/1/308	journal	December 2000
Refining the detection of the zero crossing for the three-gluon vertex in symmetric and asymmetric momentum subtraction schemes Boucaud, Ph.; De Soto, F.; Rodríguez-Quintero, J. Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.114503	journal	June 2017
Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory Boucaud, Ph.; Leroy, J. P.; Le Yaouanc, A. Physical Review D, Vol. 72, Issue 11 https://doi.org/10.1103/PhysRevD.72.114503	journal	December 2005
A window on infrared QCD with small expansion parameters Peláez, Marcela; Reinosa, Urko; Serreau, Julien Reports on Progress in Physics, Vol. 84, Issue 12 https://doi.org/10.1088/1361-6633/ac36b8	journal	December 2021
Order α s 4 QCD Corrections to Z and τ Decays Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.012002	journal	July 2008
RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses Chetyrkin, K. G.; Kühn, J. H.; Steinhauser, M. Computer Physics Communications, Vol. 133, Issue 1 https://doi.org/10.1016/S0010-4655(00)00155-7	journal	December 2000
Absence of neutrinos on a lattice Nielsen, H. B.; Ninomiya, M. Nuclear Physics B, Vol. 193, Issue 1 https://doi.org/10.1016/0550-3213(81)90524-1	journal	December 1981
Hard Scattering and Gauge/String Duality Polchinski, Joseph; Strassler, Matthew J. Physical Review Letters, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevLett.88.031601	journal	January 2002
Ghost-gluon vertex in the presence of the Gribov horizon Mintz, B. W.; Palhares, L. F.; Sorella, S. P. Physical Review D, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevD.97.034020	journal	February 2018
Event shapes in e ⁺ e annihilation and deep inelastic scattering Dasgupta, Mrinal; Salam, Gavin P. Journal of Physics G: Nuclear and Particle Physics, Vol. 30, Issue 5 https://doi.org/10.1088/0954-3899/30/5/R01	journal	February 2004
The decay constants fD and f D s $$ {f}_{D_s} $$ in the continuum limit of Nf = 2 + 1 domain wall lattice QCD Boyle, P. A.; Del Debbio, L.; Jüttner, A. Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)008	journal	December 2017
Emergence of mass in the gauge sector of QCD* Papavassiliou, J. Chinese Physics C, Vol. 46, Issue 11 https://doi.org/10.1088/1674-1137/ac84ca	journal	November 2022
Revealing the structure of light pseudoscalar mesons at the electron–ion collider Arrington, J.; Gayoso, C. Ayerbe; Barry, P. C. Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 7 https://doi.org/10.1088/1361-6471/abf5c3	journal	May 2021
The nonperturbative functional renormalization group and its applications Dupuis, N.; Canet, L.; Eichhorn, A. Physics Reports, Vol. 910 https://doi.org/10.1016/j.physrep.2021.01.001	journal	May 2021
On the difficulty of computing higher-twist corrections Martinelli, G.; Sachrajda, C. T. Nuclear Physics B, Vol. 478, Issue 3 https://doi.org/10.1016/0550-3213(96)00415-4	journal	November 1996
A precise determination of αS from lattice QCD Davies, C. T. H.; Hornbostel, K.; Lepage, G. P. Physics Letters B, Vol. 345, Issue 1 https://doi.org/10.1016/0370-2693(94)01598-7	journal	February 1995
Experimental study of the behavior of the Bjorken sum at very low Q2 Deur, A.; Chen, J. P.; Kuhn, S. E. Physics Letters B, Vol. 825 https://doi.org/10.1016/j.physletb.2022.136878	journal	February 2022
Borel representation of τ hadronic spectral function moments in contour-improved perturbation theory Hoang, André H.; Regner, Christoph Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.096023	journal	May 2022
High precision determination of αs from a global fit of jet rates Verbytskyi, Andrii; Banfi, Andrea; Kardos, Adam Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)129	journal	August 2019
A Dyson–Schwinger study of the four-gluon vertex Cyrol, Anton K.; Huber, Markus Q.; Smekal, Lorenz von The European Physical Journal C, Vol. 75, Issue 3 https://doi.org/10.1140/epjc/s10052-015-3312-1	journal	March 2015
Gluonic three-point correlations in pure Landau gauge QCD Blum, Adrian Lorenz; Huber, Markus Q.; Mitter, Mario Physical Review D, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevD.89.061703	journal	March 2014
Covariant quantization of gauge fields without Gribov ambiguity Zwanziger, Daniel Nuclear Physics B, Vol. 192, Issue 1 https://doi.org/10.1016/0550-3213(81)90202-9	journal	November 1981
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 Goriachuk, I. O.; Kataev, A. L.; Molokoedov, V. S. Journal of High Energy Physics, Vol. 2022, Issue 5 https://doi.org/10.1007/JHEP05(2022)028	journal	May 2022
Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J. Physical Review D, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevD.91.045040	journal	February 2015
Higher twists in polarized DIS and the size of the constituent quark Sidorov, A. V.; Weiss, C. Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/PhysRevD.73.074016	journal	April 2006
Properties of Regge trajectories Tang, Alfred; Norbury, John W. Physical Review D, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevD.62.016006	journal	June 2000
Implications of the principle of maximum conformality for the QCD strong coupling Deur, Alexandre; Shen, Jian-Ming; Wu, Xing-Gang Physics Letters B, Vol. 773 https://doi.org/10.1016/j.physletb.2017.07.024	journal	October 2017
Selected Science Opportunities for the EicC Chen, Xurong; Guo, Feng-Kun; Roberts, Craig D. Few-Body Systems, Vol. 61, Issue 4 https://doi.org/10.1007/s00601-020-01574-0	journal	October 2020
Observation of string breaking in QCD Bali, Gunnar S.; Neff, Hartmut; Düssel, Thomas Physical Review D, Vol. 71, Issue 11 https://doi.org/10.1103/PhysRevD.71.114513	journal	June 2005
Charmonium: The model Eichten, E.; Gottfried, K.; Kinoshita, T. Physical Review D, Vol. 17, Issue 11 https://doi.org/10.1103/PhysRevD.17.3090	journal	June 1978
Determination of the effective strong coupling constant αs,g1(Q2) from CLAS spin structure function data Deur, A.; Burkert, V.; Chen, J. P. Physics Letters B, Vol. 665, Issue 5 https://doi.org/10.1016/j.physletb.2008.06.049	journal	July 2008
Determination of the strong coupling constant from the charmonium spectrum El-Khadra, Aida X.; Hockney, George; Kronfeld, Andreas S. Physical Review Letters, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevLett.69.729	journal	August 1992
Experimental Determination of the Evolution of the Bjorken Integral at Low Q 2 Deur, A.; Bosted, P.; Burkert, V. Physical Review Letters, Vol. 93, Issue 21 https://doi.org/10.1103/PhysRevLett.93.212001	journal	November 2004
Absence of neutrinos on a lattice Nielsen, H. B.; Ninomiya, M. Nuclear Physics B, Vol. 185, Issue 1 https://doi.org/10.1016/0550-3213(81)90361-8	journal	July 1981
Which gauges are ghost-free? Konetschny, W. Physics Letters B, Vol. 90, Issue 3 https://doi.org/10.1016/0370-2693(80)90737-6	journal	February 1980
Chiral symmetry breaking in continuum QCD Mitter, Mario; Pawlowski, Jan M.; Strodthoff, Nils Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054035	journal	March 2015
A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge von Smekal, Lorenz; Hauck, Andreas; Alkofer, Reinhard Annals of Physics, Vol. 267, Issue 1 https://doi.org/10.1006/aphy.1998.5806	journal	July 1998
Ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections Barrios, Nahuel; Peláez, Marcela; Reinosa, Urko Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114016	journal	December 2020
The Large Hadron–Electron Collider at the HL-LHC Agostini, P.; Aksakal, H.; Alekhin, S. Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 11 https://doi.org/10.1088/1361-6471/abf3ba	journal	November 2021
Measurement of the neutron spin structure function gn2 and asymmetry An2 Abe, K.; Akagi, T.; Anderson, B. D. Physics Letters B, Vol. 404, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00613-8	journal	July 1997
Über Eigenschaften von Ausbreitungsfunktionen und Renormierungskonstanten quantisierter Felder Lehmann, H. Il Nuovo Cimento, Vol. 11, Issue 4 https://doi.org/10.1007/BF02783624	journal	April 1954
On the Invariant Regularization in Relativistic Quantum Theory Pauli, W.; Villars, F. Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.434	journal	July 1949
Ward identities in gauge theories Slavnov, A. A. Theoretical and Mathematical Physics, Vol. 10, Issue 2 https://doi.org/10.1007/BF01090719	journal	February 1972
$ {\Lambda_{{\overline {\text{MS}} }}} $ from the static potential for QCD with n f = 2 dynamical quark flavors Jansen, Karl; Karbstein, Felix; Nagy, Attila Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)025	journal	January 2012
Influence of Gribov ambiguities in a class of nonlinear covariant gauges Serreau, J.; Tissier, M.; Tresmontant, A. Physical Review D, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevD.92.105003	journal	November 2015
Accurate Determinations of α s from Realistic Lattice QCD Mason, Q.; Trottier, H. D.; Davies, C. T. H. Physical Review Letters, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevLett.95.052002	journal	July 2005
QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter Bruno, Mattia; Brida, Mattia Dalla; Fritzsch, Patrick Physical Review Letters, Vol. 119, Issue 10 https://doi.org/10.1103/PhysRevLett.119.102001	journal	September 2017
The QCD renormalization group equation and the elimination of fixed-order scheme-and-scale ambiguities using the principle of maximum conformality Wu, Xing-Gang; Shen, Jian-Ming; Du, Bo-Lun Progress in Particle and Nuclear Physics, Vol. 108 https://doi.org/10.1016/j.ppnp.2019.05.003	journal	September 2019
Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs Santiago, J.; Ynduráin, F. J. Nuclear Physics B, Vol. 611, Issue 1-3 https://doi.org/10.1016/S0550-3213(01)00328-5	journal	September 2001
Determination of α from static QCD potential with renormalon subtraction Takaura, H.; Kaneko, T.; Kiyo, Y. Physics Letters B, Vol. 789 https://doi.org/10.1016/j.physletb.2018.12.060	journal	February 2019
Precise α determination from charmonium sum rules Boito, Diogo; Mateu, Vicent Physics Letters B, Vol. 806 https://doi.org/10.1016/j.physletb.2020.135482	journal	July 2020
Fundamentals of the exact renormalization group Rosten, Oliver J. Physics Reports, Vol. 511, Issue 4 https://doi.org/10.1016/j.physrep.2011.12.003	journal	February 2012
Insights into the emergence of mass from studies of pion and kaon structure Roberts, Craig D.; Richards, David G.; Horn, Tanja Progress in Particle and Nuclear Physics, Vol. 120 https://doi.org/10.1016/j.ppnp.2021.103883	journal	September 2021
Infrared exponent for gluon and ghost propagation in Landau gauge QCD Lerche, Christoph; von Smekal, Lorenz Physical Review D, Vol. 65, Issue 12 https://doi.org/10.1103/PhysRevD.65.125006	journal	June 2002
Experimental Determination of the QCD Effective Charge αg1(Q) Deur, Alexandre; Burkert, Volker; Chen, Jian-Ping Particles, Vol. 5, Issue 2 https://doi.org/10.3390/particles5020015	journal	May 2022
Three-Loop Static Potential Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.112002	journal	March 2010
Computation of the strong coupling in QCD with two dynamical flavors Della Morte, M.; Frezzotti, R.; Heitger, J. Nuclear Physics B, Vol. 713, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2005.02.013	journal	May 2005
Small parameters in infrared quantum chromodynamics Peláez, Marcela; Reinosa, Urko; Serreau, Julien Physical Review D, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevD.96.114011	journal	December 2017
Nonperturbative comparison of QCD effective charges Aguilar, A. C.; Binosi, D.; Papavassiliou, J. Physical Review D, Vol. 80, Issue 8 https://doi.org/10.1103/PhysRevD.80.085018	journal	October 2009
Running Coupling Constant from Position-Space Current-Current Correlation Functions in Three-Flavor Lattice QCD Calì, Salvatore; Cichy, Krzysztof; Korcyl, Piotr Physical Review Letters, Vol. 125, Issue 24 https://doi.org/10.1103/PhysRevLett.125.242002	journal	December 2020
Determination of the QCD Λ Parameter and the Accuracy of Perturbation Theory at High Energies Dalla Brida, Mattia; Fritzsch, Patrick; Korzec, Tomasz Physical Review Letters, Vol. 117, Issue 18 https://doi.org/10.1103/PhysRevLett.117.182001	journal	October 2016
Towards the five-loop Beta function for a general gauge group Luthe, Thomas; Maier, Andreas; Marquard, Peter Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)127	journal	July 2016
Nonperturbative study of the four gluon vertex Binosi, D.; Ibañez, D.; Papavassiliou, J. Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)059	journal	September 2014
QCD forces and heavy quark bound states Bali, Gunnar S. Physics Reports, Vol. 343, Issue 1-2 https://doi.org/10.1016/S0370-1573(00)00079-X	journal	March 2001
Hadronic Spectra and Light-Front Wave Functions in Holographic QCD Brodsky, Stanley J.; de Téramond, Guy F. Physical Review Letters, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevLett.96.201601	journal	May 2006
Gauge Coupling β Functions to Four-Loop Order in the Standard Model Davies, Joshua; Herren, Florian; Poole, Colin Physical Review Letters, Vol. 124, Issue 7 https://doi.org/10.1103/PhysRevLett.124.071803	journal	February 2020
Centre vortex removal restores chiral symmetry Trewartha, Amalie; Kamleh, Waseem; Leinweber, Derek B. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 12 https://doi.org/10.1088/1361-6471/aa9443	journal	November 2017
An analogue model for KSV theory Fairlie, D. B.; Nielsen, H. B. Nuclear Physics B, Vol. 20, Issue 3 https://doi.org/10.1016/0550-3213(70)90393-7	journal	July 1970
Lattice Gluon Propagator and One-Gluon-Exchange Potential Cucchieri, Attilio; Mendes, Tereza; Serenone, Willian M. Brazilian Journal of Physics, Vol. 49, Issue 4 https://doi.org/10.1007/s13538-019-00665-6	journal	April 2019
Drawing insights from pion parton distributions Ding, Minghui; Raya, Khépani; Binosi, Daniele Chinese Physics C, Vol. 44, Issue 3 https://doi.org/10.1088/1674-1137/44/3/031002	journal	March 2020
On-Shell Asymptotics of Non-Abelian Gauge Theories Cornwall, John M.; Tiktopoulos, George Physical Review Letters, Vol. 35, Issue 6 https://doi.org/10.1103/PhysRevLett.35.338	journal	August 1975
pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables? Contreras, Carlos; Cvetič, Gorazd; Orellana, Oscar Journal of Physics Communications, Vol. 5, Issue 1 https://doi.org/10.1088/2399-6528/abdddc	journal	January 2021
The static potential in QCD — a full two-loop calculation Peter, Markus Nuclear Physics B, Vol. 501, Issue 2 https://doi.org/10.1016/S0550-3213(97)00373-8	journal	September 1997
QCD at finite temperature and chemical potential from Dyson–Schwinger equations Fischer, Christian S. Progress in Particle and Nuclear Physics, Vol. 105 https://doi.org/10.1016/j.ppnp.2019.01.002	journal	March 2019
Analytic structure of QCD propagators in Minkowski space Siringo, Fabio Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114036	journal	December 2016
High-Precision Lattice QCD Confronts Experiment Davies, C. T. H.; Follana, E.; Gray, A. Physical Review Letters, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevLett.92.022001	journal	January 2004
Physical renormalization schemes and grand unification Binger, Michael; Brodsky, Stanley J. Physical Review D, Vol. 69, Issue 9 https://doi.org/10.1103/PhysRevD.69.095007	journal	May 2004
Ultraviolet Behavior of Non-Abelian Gauge Theories Gross, David J.; Wilczek, Frank Physical Review Letters, Vol. 30, Issue 26 https://doi.org/10.1103/PhysRevLett.30.1343	journal	June 1973
Light mesons in QCD and unquenching effects from the 3PI effective action Williams, Richard; Fischer, Christian S.; Heupel, Walter Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.034026	journal	February 2016
Two-loop QCD vertices and three-loop MOM β functions Chetyrkin, K. G.; Seidensticker, T. Physics Letters B, Vol. 495, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)01217-X	journal	December 2000
Infrared behavior of non-Abelian gauge theories Cornwall, John M.; Tiktopoulos, George Physical Review D, Vol. 13, Issue 12 https://doi.org/10.1103/PhysRevD.13.3370	journal	June 1976
Hadronic unquenching effects in the quark propagator Fischer, Christian S.; Nickel, Dominik; Wambach, Jochen Physical Review D, Vol. 76, Issue 9 https://doi.org/10.1103/PhysRevD.76.094009	journal	November 2007
Gluon propagator in linear covariant R ξ gauges Siringo, Fabio; Comitini, Giorgio Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.034023	journal	August 2018
Chiral Dynamics in Nucleons and Nuclei Bernard, V.; Kaiser, N.; MeißNer, Ulf-G. International Journal of Modern Physics E, Vol. 04, Issue 02 https://doi.org/10.1142/S0218301395000092	journal	June 1995
Screened massive expansion of the quark propagator in the Landau gauge Comitini, Giorgio; Rizzo, Daniele; Battello, Massimiliano Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.074020	journal	October 2021
Leading-twist parton distribution amplitudes of S -wave heavy-quarkonia Ding, Minghui; Gao, Fei; Chang, Lei Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.11.075	journal	February 2016
Complete renormalization of QCD at five loops Luthe, Thomas; Maier, Andreas; Marquard, Peter Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)020	journal	March 2017
Charge renormalization group in quantum field theory Bogoljubov, N. N.; šiekov, D. V. Il Nuovo Cimento, Vol. 3, Issue 5 https://doi.org/10.1007/BF02823486	journal	May 1956
Lattice-motivated holomorphic nearly perturbative QCD Ayala, César; Cvetič, Gorazd; Kögerler, Reinhart Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 7 https://doi.org/10.1088/1361-6471/aa6fdf	journal	May 2017
Collider physics at the precision frontier Heinrich, Gudrun Physics Reports, Vol. 922 https://doi.org/10.1016/j.physrep.2021.03.006	journal	August 2021
Dynamical origin of the refinement of the Gribov-Zwanziger theory Dudal, D.; Sorella, S. P.; Vandersickel, N. Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.065039	journal	September 2011
Static QCD Potential at Three-Loop Order Anzai, C.; Kiyo, Y.; Sumino, Y. Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.112003	journal	March 2010
The static potential in QCD to two loops Schröder, York Physics Letters B, Vol. 447, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)00010-6	journal	February 1999
Probing the singularities of the Landau-Gauge gluon and ghost propagators with rational approximants Boito, D.; Cucchieri, A.; London, C. Y. Journal of High Energy Physics, Vol. 2023, Issue 2 https://doi.org/10.1007/JHEP02(2023)144	journal	February 2023
Kaon and pion parton distributions Cui, Z. -F.; Ding, M.; Gao, F. The European Physical Journal C, Vol. 80, Issue 11 https://doi.org/10.1140/epjc/s10052-020-08578-4	journal	November 2020
High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD McNeile, C.; Davies, C. T. H.; Follana, E. Physical Review D, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevD.82.034512	journal	August 2010
SU(3)center vortices underpin confinement and dynamical chiral symmetry breaking O’Malley, Elyse-Ann; Kamleh, Waseem; Leinweber, Derek Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054503	journal	September 2012

Similar Records

Light-Front Holographic QCD

Conference · 2012 · OSTI ID:1035097

Brodsky, Stanley J; de Teramond, Guy F

The QCD running coupling

Journal Article · 2016 · Progress in Particle and Nuclear Physics · OSTI ID:1314949

Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.

Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement

Conference · · International Journal of Modern Physics: Conference Series · OSTI ID:1970452

Brodsky, Stanley J.; Deur, Alexandre; de Téramond, Guy F.; +1 more

Related Subjects

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

Title: QCD running couplings and effective charges

Citation Formats

References (549)

Similar Records

Related Subjects