Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

Details Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation

2009-12-18

arxiv.org/abs/0912.3711v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures, 1 table. Talk given at the 5-th Int. Conf. on Quarks and Nuclear Physics, Beijing, September 21-26,2009

Scientific paper

We investigate masses of light mesons from a coupled system of Dyson--Schwinger (DSE) and Bethe--Salpeter equations (BSE), taking into account dominant non-Abelian, sub-leading Abelian, and dominant pion cloud contributions to the dressed quark-gluon vertex. The axial-vector Ward-Takahashi identity preserving Bethe-Salpeter kernel is constructed and the spectrum of light mesons calculated. Our model goes significantly beyond the rainbow-ladder. We find that sub-leading Abelian corrections are further dynamically suppressed, and that our results supersede early qualitative predictions from simple truncation schemes.

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