Absence of the 4ψ 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. © 2008 The American Physical Society.