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arXiv · 0905.2291

Probing the gluon self-interaction in light mesons

Christian S. Fischer·Richard Williams
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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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Christian S. Fischer, Richard Williams. 2009-05-14. Probing the gluon self-interaction in light mesons. https://doi.org/10.1103/physrevlett.103.122001

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