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Bethe-Salpeter equations: mesons beyond the rainbow-ladder truncation
Authors:Richard Williams  Christian SFischer
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.
Keywords:Dyson-Schwinger equations  Bethe-Salpeter equations  light-mesons  beyond rainbow-ladder
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