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The Absence of the 4 psi divergence in noncommutative chiral models

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.

noncommutative ; divergence ; gauge-theory ; standard model ; space-time ; renormalization ; decays ; sector ; R-4

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