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

and

2010 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
, , Citation Richard Williams and Christian S. Fischer 2010 Chinese Phys. C 34 1500 DOI 10.1088/1674-1137/34/9/084

1674-1137/34/9/1500

Abstract

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.

Export citation and abstract BibTeX RIS

10.1088/1674-1137/34/9/084