A chiral superpropagator for pions

Abstract

The author considers the superpropagator constructed from a chiral SU(2)*SU(2) invariant Lagrangian. He shows in general how the complications arising from the derivative couplings can be separated from the nonpolynomial, nonderivative part; and explicitly calculate the pion superpropagator for the unique choice of pion field that strict localizability requires. In an Appendix he shows that an extension of the Efimov-Fradkin Green function representation will give us n multiplet to n multiplet second order functions from the superpropagator.