Probing the Gluon Self-Interaction in Light Mesons

Institute for Nuclear Physics, Darmstadt University of Technology, 64289 Darmstadt, Germany.
Physical Review Letters (Impact Factor: 7.73). 09/2009; 103(12):122001. DOI: 10.1103/PHYSREVLETT.103.122001
Source: PubMed

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.

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