Quark-gluon vertex dressing and meson masses beyond ladder-rainbow truncation

Abstract

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The diagrammatic specification of the vertex is mapped into a corresponding specification of the Bethe-Salpeter kernel, which preserves chiral symmetry. This study adopts the algebraic format afforded by the simple interaction kernel used in previous work on this topic. The new feature of the present work is that in every diagram summed for the vertex and the corresponding Bethe-Salpeter kernel, each quark-gluon vertex is required to be the self-consistent vertex solution. We also adopt from previous work the effective accounting for the role of the explicitly non-Abelian three gluon coupling in a global manner through one parameter determined from recent lattice-QCD data for the vertex. With the more consistent vertex used here, the error in ladder-rainbow truncation for vector mesons is never more than 10% as the current quark mass is varied from the u/d region to the b region.

arXiv comment15 pages, 12 figures

References in corpus (23)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Goldstone Theorem and Diquark Confinement Beyond Rainbow-Ladder Approximation
• Measurement of the Charged Pion Electromagnetic Form Factor
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Dynamical Chiral Symmetry Breaking, Goldstone's Theorem and the Consistency of the Schwinger--Dyson and Bethe--Salpeter Equations
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Aspects and consequences of a dressed-quark-gluon vertex
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Nonperturbative structure of the quark-gluon vertex
• Nonperturbative study of generalized ladder graphs in a ϕ^2χtheory
• Quark-gluon vertex in arbitrary gauge and dimension
• Quark-gluon vertex model and lattice-QCD data
• Strong Decays of Light Vector Mesons
• On Nucleon Electromagnetic Form Factors
• Modelling the quark propagator
• Quark-gluon vertex in arbitrary kinematics
• The role of interaction vertices in bound state calculations

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