The matrix superpropagator of a chiral invariant pion-nucleon interaction

Abstract

The author takes a chiral SU(2)*SU(2) invariant pion-nucleon interaction to first order in the meson covariant derivative. The covariant derivatives are identified in terms of the Gursey matrix, and choosing the exponential parametrization for this he calculates the matrix superpropagator using Fourier transform techniques.