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.

15 pages, 12 figures

Cited by in corpus (26)

• Baryons as relativistic three-quark bound states
• Hadron Properties and Dyson-Schwinger Equations
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Vector meson form factors and their quark-mass dependence
• Masses of ground and excited-state hadrons
• Perspective on rainbow-ladder truncation
• The quark-gluon vertex in Landau gauge bound-state studies
• Beyond the rainbow: effects from pion back-coupling
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• A new method for determining the quark-gluon vertex
• Flavour symmetry breaking and meson masses
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Octet and Decuplet masses: a covariant three-body Faddeev calculation
• Delta-baryon mass in a covariant Faddeev approach
• Light composite Higgs boson from the normalized Bethe-Salpeter equation
• Higher order heavy quark Green's functions in Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Consequences Of Fully Dressing Quark-Gluon Vertex Function With Two-Point Gluon Lines
• Hadronic bound-states in SU(2) from Dyson--Schwinger Equations
• Diquark bound states with a completely crossed ladder truncation
• A comprehensive approach to the physics of mesons
• The rainbow modified-ladder approximation and degenerate pion
• Derivation of the gap and Bethe-Salpeter equations at large $N_c$ limit and symmetry preserving truncations
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Partial wave analysis for the in-hadron condensate
• Perturbative method to estimate meson masses in the framework of Bethe-Salpeter equation beyond its dominant interaction