Probing the Gluon Self-Interaction in Light Mesons

2009/05/31 by Christian S. Fischer, Richard Williams · 13 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevlett.103.122001

published as Phys.Rev.Lett.103:122001,2009 · 4 pages, 5 figures. Matches published version in PRL

openalex publication_date 2009/09/15 · arxiv created 2009/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate masses and decay constants of light mesons from a coupled system of Dyson-Schwinger and Bethe-Salpeter equations. We explicitly take into account dominant non-Abelian contributions to the dressed quark-gluon vertex stemming from the gluon self-interaction. We construct the corresponding Bethe-Salpeter kernel that satisfies the axial-vector Ward-Takahashi identity. Our numerical treatment fully includes all momentum dependencies with all equations solved completely in the complex plane. This approach goes well beyond the rainbow-ladder approximation and permits us to investigate the influence of the gluon self-interaction on the properties of mesons. As a first result we find indications of a nonperturbative cancellation of the gluon self-interaction contributions and pion cloud effects in the mass of the rho meson.

Citations

• Review of Particle Physics
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex

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