Process-independent strong running coupling

Abstract

We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the continuum theory. Using the latter, we explain and calculate a process-independent running-coupling for QCD, a new type of effective charge that is an analogue of the Gell-Mann--Low effective coupling in quantum electrodynamics. The result is almost identical to the process-dependent effective charge defined via the Bjorken sum rule, which provides one of the most basic constraints on our knowledge of nucleon spin structure. This reveals the Bjorken sum to be a near direct means by which to gain empirical insight into QCD's Gell-Mann--Low effective charge.

6 pages, 2 figures

References in corpus (15)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• The Deuteron Spin-dependent Structure Function g1d and its First Moment
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Non-perturbative comparison of QCD effective charges
• Natural constraints on the gluon-quark vertex
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Covariant gauge on the lattice: a new implementation
• Flavour symmetry breaking and meson masses
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• QCD effective charge and the structure function $F_2$ at small-$x$

Cited by in corpus (93)

• 50 Years of Quantum Chromodynamics
• Pion and Kaon Structure at the Electron-Ion Collider
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Spectral functions of confined particles
• Spectrum of light- and heavy-baryons
• Symmetry, symmetry breaking, and pion parton distributions
• Effective charge from lattice QCD
• Locating the Gribov horizon
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Empirical Consequences of Emergent Mass
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Selected Science Opportunities for the EicC
• Gauge Sector Dynamics in QCD
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Reconstructing QCD Spectral Functions with Gaussian Processes
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• QCD Running Couplings and Effective Charges
• Quark gap equation with non-abelian Ball-Chiu vertex
• Emergent Hadron Mass in Strong Dynamics
• Mass-dependence of pseudoscalar meson elastic form factors
• Elastic electromagnetic form factors of vector mesons
• Reflections upon the Emergence of Hadronic Mass
• Poincaré-covariant analysis of heavy-quark baryons
• Nucleon-to-Roper electromagnetic transition form factors at large-$Q^2$
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Structure of the nucleon's low-lying excitations
• Drawing insights from pion parton distributions
• Concerning pion parton distributions
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Contact interaction analysis of pion GTMDs
• Higgs modulation of emergent mass as revealed in kaon and pion parton distributions
• Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Nonperturbative structure of the ghost-gluon kernel
• Ghost dynamics in the soft gluon limit
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Emergence of mass in the gauge sector of QCD
• Evidence of ghost suppression in gluon mass dynamics
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Emergence of pion parton distributions
• Off-shell persistence of composite pions and kaons
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Exploring smoking-gun signals of the Schwinger mechanism in QCD
• Gluon mass scale through nonlinearities and vertex interplay
• Transition form factors: ${\gamma }^{\ast }+p\to \Delta (1232)$, $\Delta (1600)$
• Parton distributions of light quarks and antiquarks in the proton
• Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
• Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
• Experimental constraint on quark electric dipole moments
• Lattice three-gluon vertex in extended kinematics: planar degeneracy
• Renormalon-motivated evaluation of QCD observables
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• Non-perturbative strong coupling at timelike momenta
• Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking
• N* Structure and Strong QCD
• Nucleon Resonance Structure from Exclusive Meson Electroproduction with CLAS
• Heavy-light mesons beyond ladder approximation
• Calculation of the non-perturbative strong coupling from first principles
• Novel sum rules for the three-point sector of QCD
• Extraction of Proton Trace Anomaly Energy from Near-Threshold $\varphi$ and $J/\psi$ photo-productions
• Tackling the kaon structure function at EicC
• Gluon mass scale through the Schwinger mechanism
• Roper resonance -- solution to the fifty year puzzle
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Pileup and Infrared Radiation Annihilation (PIRANHA): A Paradigm for Continuous Jet Grooming
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• Hadron Structure using Continuum Schwinger Function Methods
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Heavy-light mesons spectra in a contact interaction
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations
• The rainbow modified-ladder approximation and degenerate pion
• An analysis of polarized parton distribution functions with nonlinear QCD evolution equations
• Insights into the Origin of Mass
• Extracting a model quark propagator's spectral density
• The QCD running coupling at all scales and the connection between hadron masses and Λ_s
• Process-independent effective coupling and the pion structure function
• Patterns of gauge symmetry in the background field method
• Everlasting interaction: polarization summation without a Landau pole
• Computation of the one-loop spectral QCD running coupling using covariant spectral regularization
• Nucleon-to-Resonance Form Factors at Large Photon Virtualities
• Excited light baryons from quark-gluon-level calculations
• Mesons and Baryons: Parity Partners
• Regarding the distribution of glue in the pion
• Linking continuum and lattice quark mass functions via an effective charge