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Title: Probing the Gluon Self-Interaction in Light Mesons

Journal Article · · Physical Review Letters
 [1];  [1]
  1. Institute for Nuclear Physics, Darmstadt University of Technology, Schlossgartenstrasse 9, 64289 Darmstadt (Germany)

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.

OSTI ID:
21370673
Journal Information:
Physical Review Letters, Vol. 103, Issue 12; Other Information: DOI: 10.1103/PhysRevLett.103.122001; (c) 2009 The American Physical Society; ISSN 0031-9007
Country of Publication:
United States
Language:
English