Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
arXiv:1610.06158 · doi:10.1103/PhysRevD.96.014029
Abstract
We determine the non-Abelian version of the four longitudinal form factors of the quark-gluon vertex, using exact expressions derived from the Slavnov-Taylor identity that this vertex satisfies. In addition to the quark and ghost propagators, a key ingredient of the present approach is the quark-ghost scattering kernel, which is computed within the one-loop dressed approximation. The vertex form factors obtained from this procedure are evaluated for arbitrary Euclidean momenta, and display features not captured by the well-known Ball-Chiu vertex, deduced from the Abelian (ghost-free) Ward identity. The potential phenomenological impact of these results is evaluated through the study of special renormalization-point-independent combinations, which quantify the strength of the interaction kernels appearing in the standard quark gap and Bethe-Salpeter equations.
arXiv comment52 pages, 24 figures; expanded version matching the published one
References in corpus (56)
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- Dyson-Schwinger equations: a tool for hadron physics
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- 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
- Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
- Explanation and Prediction of Observables using Continuum Strong QCD
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
- Chiral symmetry breaking in continuum QCD
- Sketching the Bethe-Salpeter kernel
- Interaction model for the gap equation
- Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
- Non-perturbative comparison of QCD effective charges
- Light mesons in QCD and unquenching effects from the 3PI effective action
- Dressed-quark anomalous magnetic moments
- From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
- The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
- Aspects and consequences of a dressed-quark-gluon vertex
- Ghost-gluon running coupling, power corrections and the determination of
- Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
- Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
- Nonperturbative structure of the quark-gluon vertex
- 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
- Practical Algebraic Renormalization
- The quark-gluon vertex in Landau gauge bound-state studies
- Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
- Practical corollaries of transverse Ward-Green-Takahashi identities
- On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
- QCD effective charges from lattice data
- Quark-gluon vertex model and lattice-QCD data
- Pinch Technique and the Batalin-Vilkovisky formalism
- Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
- Unquenching the gluon propagator with Schwinger-Dyson equations
- Quark-gluon vertex from lattice QCD
- A new method for determining the quark-gluon vertex
- Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
- The dynamical equation of the effective gluon mass
- Quark-gluon vertex in general kinematics
- Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation
- Quark-gluon Vertex: A Perturbation Theory Primer and Beyond
- The non-perturbative three-point vertex in massless quenched QED and perturbation theory constraints
- Two Loop QCD Vertices and Three Loop MOM functions
- Beyond Rainbow-Ladder in bound state equations
- Transverse Ward-Takahashi Identity, Anomaly and Schwinger-Dyson Equation
- Probing the quark-gluon interaction with hadrons
- Quark-gluon vertex in arbitrary kinematics
- Dressed-quarks and the nucleon's axial charge
- Off-shell two loop QCD vertices
- Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
- Quark-gluon vertex with an off-shell O(a)-improved chiral fermion action
- Confinement, DCSB, Bound States, and the Quark-Gluon Vertex
Cited by in corpus (33)
- QCD phase structure from functional methods
- Chiral phase structure and critical end point in QCD
- Fully coupled functional equations for the quark sector of QCD
- Quark gap equation with non-abelian Ball-Chiu vertex
- Mass-dependence of pseudoscalar meson elastic form factors
- Elastic electromagnetic form factors of vector mesons
- Ghost dynamics in the soft gluon limit
- Nonperturbative structure of the ghost-gluon kernel
- Pseudoscalar glueball mass: a window on three-gluon interactions
- Quark-gluon vertex from Nf=2 lattice QCD
- Exploring the Quark-Gluon Vertex with Slavnov-Taylor Identities and Lattice Simulations
- Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
- Probing the tensor structure of lattice three-gluon vertex in Landau gauge
- The Quark-Gluon Vertex and the QCD Infrared Dynamics
- The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
- Practical scheme from QCD to phenomena via Dyson-Schwinger equations
- Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
- Phase structure of 2+1-flavour QCD and the magnetic equation of state
- Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
- On the quark spectral function in QCD
- The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
- Gauge dependence of the quark gap equation: an exploratory study
- Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD
- Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
- Center phase transition from matter propagators in (scalar) QCD
- A comprehensive approach to the physics of mesons
- The Charm and Beauty of Strong Interactions
- The Equal-Time Quark Propagator in Coulomb Gauge
- Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED
- Patterns of gauge symmetry in the background field method
- Parton distribution and fragmentation functions with massive gluons
- Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints
- Excited light baryons from quark-gluon-level calculations