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

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

2007-11-06

arxiv.org/abs/0711.0887v1

Phys.Rev.D77:045031,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1103/PhysRevD.77.045031

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

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