The absence of the 4$ψ$ divergence in noncommutative chiral models

Abstract

In this paper we show that in the noncommutative chiral gauge theories the 4-fermion vertices are finite. The $4ψ$-vertices appear in linear order in quantization of the $θ$-expanded noncommutative gauge theories; in all previously considered models, based on Dirac fermions, the $4ψ$-vertices were divergent and nonrenormalizable.

7 pages