Aspects and consequences of a dressed-quark-gluon vertex

2004/03/02 by Mandar S. Bhagwat, M. S. Bhagwat, A. Höll +5 · 165 citations
Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Combinatorics #Gluon #High-Energy Particle Collisions Research #Mathematics #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quark #Vertex (graph theory) #hep-ex #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.70.035205

published in Physical Review C 70(3) (American Institute of Physics) · 22 pages, 12 figures

arxiv created 2004/03/02 · openalex publication_date 2004/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Features of the dressed-quark-gluon vertex and their role in the gap and Bethe-Salpeter equations are explored. It is argued that quenched lattice data indicate the existence of net attraction in the color-octet projection of the quark-antiquark scattering kernel. The study employs a vertex model whose diagrammatic content is explicitly enumerable. That enables the systematic construction of a vertex-consistent Bethe-Salpeter kernel and thereby an exploration of the consequences for the strong interaction spectrum of attraction in the color-octet channel. With rising current-quark mass the rainbow-ladder truncation is shown to provide an increasingly accurate estimate of a bound state's mass. Moreover, the calculated splitting between vector and pseudoscalar meson masses vanishes as the current-quark mass increases, which argues for the mass of the pseudoscalar partner of the \ensuremathΥ(1S) to be above 9.4\phantom\rule0.3em0exGeV. With the amount of attraction suggested by lattice data color-antitriplet diquarks are absent from the strong interaction spectrum.

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Cited by

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• Flavor symmetry breaking and meson masses
• Aspects of the Confinement Mechanism in Coulomb-Gauge QCD
• Derivation of the gap and Bethe-Salpeter equations at large Nc limit and symmetry preserving truncations
• Hadronic unquenching effects in the quark propagator
• New perspective on hybrid mesons