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

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