The Quark-Gluon Vertex and the QCD Infrared Dynamics

Abstract

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the Ball-Chiu vertex, taking into account a recently derived normalisation for a quark-ghost kernel form factors and the gluon contribution for the tree level quark-gluon vertex identified on a recent study of the lattice soft gluon limit. A solution for the inverse problem is computed after the Tikhonov linear regularisation of the integral equation, that implies solving a modified Dyson-Schwinger equation. We get longitudinal form factors that are strongly enhanced at the infrared region, deviate significantly from the tree level results for quark and gluon momentum below 2 GeV and at higher momentum approach their perturbative values. The computed quark-gluon vertex favours kinematical configurations where the quark momentum $p$ and the gluon momentum $q$ are small and parallel. Further, the quark-gluon vertex is dominated by the form factors associated to the tree level vertex ${\gamma }_{\mu }$ and to the operator $2p_{\mu }+q_{\mu }$. The higher rank tensor structures provide small contributions to the vertex.

arXiv commentSome rewriting. Version accepted for publication in Eur Phys J C

References in corpus (38)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Infrared Properties of QCD from Dyson-Schwinger equations
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Baryons as relativistic three-quark bound states
• Pinch Technique: Theory and Applications
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Interaction model for the gap equation
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Quark flavour effects on gluon and ghost propagators
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Nonperturbative structure of the quark-gluon vertex
• Tracing masses of ground-state light-quark mesons
• Chiral symmetry breaking with lattice propagators
• Natural constraints on the gluon-quark vertex
• Quark-gluon vertex in arbitrary gauge and dimension
• ONE LOOP QED VERTEX IN ANY COVARIANT GAUGE: ITS COMPLETE ANALYTIC FORM
• Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
• Practical corollaries of transverse Ward-Green-Takahashi identities
• Gauge independent Chiral Symmetry Breaking in Quenched QED
• On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
• Nonperturbative improvement and tree-level correction of the quark propagator
• A new method for determining the quark-gluon vertex
• Quark propagator in the Landau gauge
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Massless bound-state excitations and the Schwinger mechanism in QCD
• Quark gap equation with non-abelian Ball-Chiu vertex
• Quark-gluon vertex in general kinematics
• Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Probing the quark-gluon interaction with hadrons
• Mass spectrum and decay constants of radially excited vector mesons
• Exploring the Quark-Gluon Vertex with Slavnov-Taylor Identities and Lattice Simulations
• Local Gauge Transformation for the Quark Propagator in an SU(N) Gauge Theory
• Lattice Landau gauge quark propagator and the quark-gluon vertex

Cited by in corpus (15)

• Ghost dynamics in the soft gluon limit
• Transverse Takahashi Identities and Their Implications for Gauge Independent Dynamical Chiral Symmetry Breaking
• The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
• Dynamical mass generation in Minkowski space at QCD scale
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• The Podolsky propagator in gap and bound-state equations
• A comprehensive approach to the physics of mesons
• Looking at QED with Dyson-Schwinger equations: basic equations, Ward-Takahashi identities and the two-photon-two-fermion irreducible vertex
• Deformations of the AdS-Schwarzschild black brane and the shear viscosity of the quark-gluon plasma
• The Equal-Time Quark Propagator in Coulomb Gauge
• Parton distribution and fragmentation functions with massive gluons
• Chiral effective Lagrangian for heavy-light mesons from QCD
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach
• Pion electromagnetic form factor with Minkowskian dynamics
• Chiral effective Lagrangian for excited heavy-light mesons from QCD