Process-independent effective coupling. From QCD Green's functions to phenomenology

Abstract

This article reports on a very recent proposal for a new type of process-independent QCD effective charge [Phys.Rev.D96(2017)054026] defined, as an anologue of the Gell-Mann-Low effective charge in QCD, on the ground of nothing but the knowledge of the gauge-field two-point Green's function, albeit modified within a particular computational framework; namely, the combination of pinch technique and background field method which makes possible a systematic rearranging of classes of diagrams in order to redefine the Green's function and have them obey linear QED-like Slavnov-Taylor identities. We have here calculated that effective charge, shown how strikingly well it compares to a process-dependent effective charge based on the Bjorken sum rule; and, finally, employed it in an exploratory calculation of the proton electromagnetic form factor in the hard scattering regime.

13 pages, 3 figues; contribution to NStar 2017 (Columbia, USA)

References in corpus (12)

• 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
• 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
• Process-independent strong running coupling
• On the zero crossing of the three-gluon vertex
• 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
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices

Cited by in corpus (34)

• 50 Years of Quantum Chromodynamics
• Pion and Kaon Structure at the Electron-Ion Collider
• Spectrum of light- and heavy-baryons
• Symmetry, symmetry breaking, and pion parton distributions
• Effective charge from lattice QCD
• 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
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• QCD Running Couplings and Effective Charges
• 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
• Nucleon-to-Roper electromagnetic transition form factors at large-$Q^2$
• Drawing insights from pion parton distributions
• Contact interaction analysis of pion GTMDs
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Pseudoscalar glueball mass: a window on three-gluon interactions
• Transition form factors: ${\gamma }^{\ast }+p\to \Delta (1232)$, $\Delta (1600)$
• Spectrum and structure of octet and decuplet baryons and their positive-parity excitations
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• Practical scheme from QCD to phenomena via Dyson-Schwinger equations
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• Heavy-light mesons beyond ladder approximation
• Tackling the kaon structure function at EicC
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• 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
• Process-independent effective coupling and the pion structure function
• Linking continuum and lattice quark mass functions via an effective charge
• Mesons and Baryons: Parity Partners