Chiral symmetry breaking via multifermion Green functions.

Previous results on fermion chirality-flipping four-point functions are extended to SU(N) gauge theories. The problem is purely non-perturbative, and it is approached by truncating the Schwinger-Dyson hierarchy. The large-N limit also simplifies the problem substantially. The resulting equation is solved numerically by relaxation techniques and an estimate of the critical coupling and momentum behavior is obtained. We also comment on the behavior of chirality-flipping 2n-point functions for general n. Electronic address:[email protected] Electronic address:[email protected]. utoronto.ca