The absence of the 4$\psi$ 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 $4\psi$-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.

7 pages

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• Yukawa terms in noncommutative SO(10) and E6 GUTs
• Noncommutative Standard Model in Top Quark Sector
• The theta-exact Seiberg-Witten maps at the e3 order
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology
• Revisiting NCQED and scattering amplitudes
• NC GUTs: A Status Report