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Title: The QCD running coupling

Journal Article · · Progress in Particle and Nuclear Physics

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); High Energy Physics (HEP)
DOE Contract Number:
AC02-76SF00515
OSTI ID:
1251570
Report Number(s):
SLAC-PUB-16448; arXiv:1604.08082
Journal Information:
Progress in Particle and Nuclear Physics, Vol. 90, Issue C; ISSN 0146-6410
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

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  • Baldicchi, M.
  • QUARK CONFINEMENT AND THE HADRON SPECTRUM VI: 6th Conference on Quark Confinement and the Hadron Spectrum - QCHS 2004, AIP Conference Proceedings https://doi.org/10.1063/1.1920942
conference January 2005
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Specific features of heavy quark production: Local parton-hadron duality approach to heavy particle spectra journal January 1996
Indirect lattice evidence for the refined Gribov-Zwanziger formalism and the gluon condensate A 2 in the Landau gauge journal April 2010
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Nonperturbative power corrections to two-loop α ¯ s ( q 2 ) in an analytic approach to QCD journal May 2000
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Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order α s 4 in a General Gauge Theory journal March 2010
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QCD coupling below 1 GeV from the quarkonium spectrum journal February 2008
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Interaction model for the gap equation journal October 2011
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The perturbative pion form factor with Sudakov suppression journal August 1992
Monte Carlo evaluation of the effective gluon mass journal February 1982
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A remnant of chiral symmetry on the lattice journal May 1982
Three-loop static QCD potential in heavy quarkonia journal April 2014
Light-front holographic QCD and emerging confinement journal July 2015
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Looking into the Matter of Light-Quark Hadrons journal November 2011
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The spin structure function g 1 p of the proton and a test of the Bjorken sum rule journal February 2016
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S U ( 3 ) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition journal March 2011
Dynamical chiral-symmetry breaking journal March 1984
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Collective Perspective on Advances in Dyson—Schwinger Equation QCD journal July 2012
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Calculation of electroproduction to NNLO and precision determination of αs journal December 1999
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Average gluon and quark jet multiplicities at higher orders journal October 2013
Gluon mass through ghost synergy journal January 2012
Infrared gluon and ghost propagators journal December 2008
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Renormalization in Stochastic Quantization and Supersymmetry journal January 1993
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Three-Loop Static Potential journal March 2010
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Infrared behavior of the static potential in perturbative QCD journal October 1999
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Quantum superconformal model in (1, 2) space journal September 1983
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Infrared propagators of Yang-Mills theory from perturbation theory journal November 2010
Landau gauge gluon and ghost propagators from lattice QCD journal January 2007
Characteristics of expected quark-antiquark resonances based on the quantum-chromodynamic potential journal February 1980
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What the Gribov copy tells about confinement and the theory of dynamical chiral symmetry breaking journal November 2004
Dyson-Schwinger equations: Density, temperature and continuum strong QCD journal January 2000
Another connection between the Λ parameters of the euclidean lattice and continuum QCD journal September 1981
Natural solution in the refined Gribov-Zwanziger theory journal May 2014
Study of scheme transformations to remove higher-loop terms in the β function of a gauge theory journal August 2013
QCD formulation of the tau decay and determination of ΛMS¯ journal August 1988
Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared journal June 2009
Constraints on the infrared behavior of the ghost propagator in Yang-Mills theories journal November 2008
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Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution journal January 2013
Coulomb energy, vortices, and confinement journal May 2003
Universal effective hadron dynamics from superconformal algebra journal August 2016
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The analytic approach in quantum chromodynamics journal September 1999
Quark-gluon vertex from the Landau gauge Curci-Ferrari model journal August 2015
The background field method beyond one loop journal July 1981
A precise determination of the running coupling in the SU(3) Yang-Mills theory journal January 1994
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Spin structure of the proton from polarized inclusive deep-inelastic muon-proton scattering journal November 1997
Modified instanton profile effects from lattice Green functions journal December 2004
Precision measurement of the proton and deuteron spin structure functions g2 and asymmetries A2 journal January 2003
Measurements of the Proton and Deuteron Spin Structure Function g 2 and Asymmetry A 2 journal January 1996
Testing QCD with τ decays journal September 1992
Gauge Fixing and Gluon Propagators journal January 1996
Asymptotic behaviour of supersymmetric Yang-Mills theories in the two-loop approximation journal February 1975
Gluonic three-point correlations in pure Landau gauge QCD journal March 2014
Exact Sum Rule for Nucleon Magnetic Moments journal May 1966
Hadronic unquenching effects in the quark propagator journal November 2007
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Quarkonia and quantum chromodynamics journal July 1981
Infrared Behavior and Fixed Points in Landau-Gauge QCD journal October 2004
Constraints on the Infrared Behavior of the Gluon Propagator in Yang-Mills Theories journal June 2008
Four-loop QCD analysis of the Bjorken sum rule journal January 2012
Measurement of the neutron spin structure function gn2 and asymmetry An2 journal July 1997
Ward identities in gauge theories journal February 1972
QCD results from studies of hadronic events produced in e+e− annihilations at GeV journal December 1998
Naive nonabelianization and resummation of fermion bubble chains journal April 1995
Threefold complementary approach to holographic QCD journal February 2014
Infrared exponent for gluon and ghost propagation in Landau gauge QCD journal June 2002
Freezing of QCD coupling affects the short distance static potential journal December 2001
Confinement contains condensates journal June 2012
Renormalons and the quark potential journal December 1995
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Multiplicative renormalizability of gluon and ghost propagators in QCD journal November 2001
The gluon propagator journal July 1999
Renormalization group improved perturbative QCD journal September 1980
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BLM resummation and OPE in heavy flavor transitions journal April 1997
Infrared Behaviour and Running Couplings in Interpolating Gauges in QCD text January 2005
On non perturbative corrections to the potential for heavy quarks journal October 1998
Lattice calculation of gluon screening masses journal January 2004
Theory of power corrections to deep inelastic scattering in quantum chromodynamics journal June 1982
Gauge-invariant four-gluon vertex and its Ward identity journal May 1993
The gauge-independent QCD effective charge journal June 1997
Infinite volume and continuum limits of the Landau-gauge gluon propagator journal June 2001
Relations between observables and the infrared fixed point in QCD journal September 1998
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Relating the QCD Pomeron to an effective gluon mass journal January 1993
Non-Abelian Dipole Radiation and the Heavy Quark Expansion journal April 1998
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Numerical Study of the Ghost-Gluon Vertex in Landau gauge journal December 2004
Gluon mass generation in the PT-BFM scheme journal December 2006
Parton distributions for the LHC run II journal April 2015
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Ten years of the analytic perturbation theory in QCD journal January 2007
Running coupling in Yang-Mills theory: A flow equation study journal July 2002
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Derivation of the Schrödinger Equation from Newtonian Mechanics journal October 1966
Two-loop diagrams in Yang-Mills theory journal June 1974
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Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass journal October 1995
Studies of hadronic event structure in e+e- annihilation from 30 to 209GeV with the L3 detector journal September 2004
Applications of the Chiral U ( 6 ) U ( 6 ) Algebra of Current Densities journal August 1966
Strong Coupling Continuum QCD
  • Pennington, M. R.
  • THE IX INTERNATIONAL CONFERENCE ON QUARK CONFINEMENT AND THE HADRON SPECTRUM—QCHS IX, AIP Conference Proceedings https://doi.org/10.1063/1.3574943
conference January 2011
QCD-Instantons and conformal space-time inversion symmetry journal June 2008
Generalized Gerasimov-Drell-Hearn sum rule for the proton-neutron difference in chiral perturbation theory journal April 2001
Generalized sum rules for spin-dependent structure functions of the nucleon journal December 2000
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Kinematical and dynamical aspects of higher-spin bound-state equations in holographic QCD journal April 2013
Nonperturbative QCD, Gauge-Fixing, Gribov Copies and the Lattice journal January 2003
String breaking journal March 2006
Algebraic treatment of effective supersymmetry journal April 1985
Global jet properties at 14?44 GeV center of mass energy ine + e ? annihilation journal June 1990
Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem journal January 1979
The running coupling from lattice gauge theory journal June 1992
Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in Perturbative QCD journal May 2013
Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism journal September 2012
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Scaling and the Behavior of Nucleon Resonances in Inelastic Electron-Nucleon Scattering journal November 1971
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String breaking and lines of constant physics in the SU(2) Higgs model journal March 2000
The SU(3) beta function from numerical stochastic perturbation theory journal January 2014
Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications journal December 2005
Hyperfine splittings of bag model gluonia journal May 1982
Gerasimov-Drell-Hearn sum rule and related integrals journal April 2001
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Truncating First-Order Dyson–Schwinger Equations in Coulomb Gauge Yang–Mills Theory journal October 2009
Qcd in the Infrared with Exact Angular Integrations journal April 1998
Effective quark interactions and QCD propagators journal February 1998
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A study of event shapes and determinations of $\alpha_s$ using data of ${\rm e^+e-}$ annihilations at $\sqrt{s} =22$ to 44 GeV journal February 1998
Bridging a gap between continuum-QCD and ab initio predictions of hadron observables journal March 2015
The l = 1 hyperfine splitting in bottomium as a precise probe of the QCD vacuum journal June 1995
Perturbative QCD analysis of pion and kaon form factors and pair production in photon-photon collisions using a frozen coupling constant journal December 1990
Analytical approximations for real values of the Lambert W-function journal August 2000
Parton distribution functions and benchmark cross sections at next-to-next-to-leading order journal September 2012
The SU(3) Beta Function from Numerical Stochastic Perturbation Theory text January 2013
Non-perturbative momentum dependence of the coupling constant and hadronic models journal April 2011
Dual-symmetric theory of hadrons.—I journal October 1970
Perturbative QCD corrections to the ratio R for τ decay journal March 1989
Covariant quantization of gauge fields without Gribov ambiguity journal November 1981
Dual-symmetric theory of hadrons: II.—Baryons journal October 1970
Spin asymmetry in muon-proton deep inelastic scattering on a transversely-polarized target journal September 1994
On a class of Lagrangian models for massive and massless Yang-mills fields journal March 1976
Measurement of the proton and deuteron spin structure functions g2 and asymmetry A2 journal July 1999
Problems on Lattice Gauge Fixing journal August 2001
Behavior of the Effective QCD Coupling in the Infrared Region journal January 2002
Can the QCD running coupling have a causal analyticity structure? journal July 1998
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Hamiltonian formulation of Wilson's lattice gauge theories journal January 1975
A Solution to Coupled Dyson–Schwinger Equations for Gluons and Ghosts in Landau Gauge journal July 1998
On low energy tests of QCD journal July 1980
Unquenched quark propagator in Landau gauge journal March 2005
Renormalization group invariance and optimal QCD renormalization scale-setting: a key issues review journal October 2015
Q2-dependence of the nucleon's G1 structure function sum rule journal July 1994
Angular distributions of massive quarks and leptons close to threshold journal October 1995
Bound-State Approach to the QCD Coupling Constant at Low-Energy Scales journal December 2007
Local and renormalizable action from the gribov horizon journal September 1989
Effective method for calculating the analytic QCD coupling constant journal September 2002
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Analytic perturbation theory and inclusive τ decay journal December 1997
Strong Coupling Constant with Flavor Thresholds at Four Loops in the Modified Minimal-Subtraction Scheme journal September 1997
Fermionic contributions to the three-loop static potential journal October 2008
Non-singlet QCD analysis of deep inelastic world data at journal July 2007
The Gribov–Zwanziger action in the presence of the gauge invariant, nonlocal mass operator Tr∫d4xFμν(D2)-1Fμν in the Landau gauge journal August 2007
Precision Measurement of the Proton Spin Structure Function g 1 p journal January 1995
A Soluble Gauge Model with Gribov-Type Copies journal March 1996
High-energy neutrino-nucleon scattering, current algebra and partons journal December 1969
The gluon propagator on a large volume, at β = 6.0 journal November 1995
Rigorous QCD evaluation of spectrum and other properties of heavy qq¯ systems: Bottomonium with n =2, l =0,1 journal June 1995
Dyson–Schwinger Approach to Strongly Coupled Theories journal March 2013
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Precision Determination of the Neutron Spin Structure Function g 1 n journal July 1997
Pinch technique: Theory and applications journal August 2009
Precision measurement of the neutron spin asymmetries and spin-dependent structure functions in the valence quark region journal December 2004
The Exact Renormalization Group and Approximate Solutions journal June 1994
The three-loop QCD β-function and anomalous dimensions journal April 1993
Experimental determination of the effective strong coupling constant journal July 2007
Accurate Determinations of α s from Realistic Lattice QCD journal July 2005
Quantum Electrodynamics at Small Distances journal September 1954
High precision determination of the Q 2 evolution of the Bjorken sum journal July 2014
QCD predictions for the decay of the τ lepton journal April 1988
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The static quark potential to three loops in perturbation theory journal August 2010
The 3-loop QCD calculation of the moments of deep inelastic structure functions journal May 1997
Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations journal July 2008
Gluon mass through ghost synergy text January 2011
First Signs for String Breaking in Two-Flavor QCD journal March 2000
Broken Scale Invariance in Scalar Field Theory journal October 1970
Measurement of the deuteron spin structure function g1d(x) for 1 (GeV/c)2<Q2<40 (GeV/c)2 journal September 1999
Lattice Landau gauge with stochastic quantisation journal May 2010
New Analytic Running Coupling in qcd: Higher loop Levels journal December 2001
The static potential in QCD — a full two-loop calculation journal September 1997
Renormalization-scheme ambiguity and perturbation theory near a fixed point journal April 1984
Harmonic-Oscillator Analogy for the Veneziano Model journal September 1969
Effective potential for heavy-quark-antiquark bound systems journal March 1979
Dyson-Schwinger equations and their application to hadronic physics journal January 1994
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Large volume behaviour of Yang-Mills propagators journal December 2007
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Nearly perturbative lattice-motivated QCD coupling with zero IR limit text January 2017
Strong Gravity Approach to QCD and General Relativity preprint January 2016
Bjorken polarized sum rule and infrared-safe QCD couplings text January 2018
Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions journal April 2018
Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one loop journal October 2019
The renormalization group equations revisited journal September 2018
A Fluctuation Theory of Topological Susceptibility preprint January 2019
The spin structure of the nucleon journal June 2019
Nonsinglet polarized nucleon structure function in infrared-safe QCD text January 2019
The QCD Running Coupling at All Scales and the Connection Between Hadron Masses and $$\varvec{\varLambda _s}$$ Λ s journal November 2018
Transcendental equations of the running coupling preprint January 2019
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Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$ text January 2020
Process-independent strong running coupling text January 2016
$$N^*$$ N ∗ Structure and Strong QCD journal May 2018
pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables? text January 2020
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The spin structure of the nucleon journal January 1994
The renormalization group equations revisited text January 2018
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course conference April 2017
Non-perturbative β-functions via Feynman graphons journal May 2019
Decoupling the NLO coupled QED $\otimes$ QCD, DGLAP evolution equations,Using Laplace Transform Method text January 2016
Crawling technicolor text January 2018
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Gluon propagator in two-color dense QCD: Massive Yang-Mills approach at one-loop text January 2019
Nonsinglet polarized nucleon structure function in infrared-safe QCD journal December 2019
Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors text January 2017
Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology journal July 2018
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Radiative Corrections to Neutron and Nuclear Beta Decays Revisited text January 2019
The spin structure of the nucleon journal January 2005
Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD journal September 2017
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