Fermion Green functions in non-abelian gauge theories in four dimensions

Abstract

In this work we study the critical behavior and momentum dependence of chirality-flipping fermion 4-point functions in non-abelian gauge theories. Our formalism is based on the Schwinger-Dyson system of equations. Considering the large-N limit of an SU(N) theory simplifies the problem considerably, showing us clearly which Green functions can be non-zero and which not. It also allows us to draw conclusions on chirality-flipping n-point functions for n larger than four.