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Approximation of the Schwinger--Dyson and the Bethe--Salpeter Equations and Chiral Symmetry of QCD

Authors
  • Naito, K.
  • Oka, M.
Type
Published Article
Publication Date
May 09, 1998
Submission Date
May 08, 1998
Identifiers
DOI: 10.1103/PhysRevC.59.542
Source
arXiv
License
Unknown
External links

Abstract

The Bethe--Salpeter equation for the pion in chiral symmetric models is studied with a special care to consistency with low-energy relations. We propose a reduction of the rainbow Schwinger--Dyson and the ladder Bethe--Salpeter equations with a dressed gluon propagator. We prove that the reduction preserves the Ward--Takahashi identity for the axial-vector current and the PCAC relation.

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