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

References in corpus (5)

• Induced Gauge Theory on a Noncommutative Space
• The Noncommutative Standard Model at O(theta^2)
• Non-commutative SU(N) gauge theories and asymptotic freedom
• Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
• Remarks on the 2nd order Seiberg-Witten maps

Cited by in corpus (4)

• Particle phenomenology on noncommutative spacetime
• Renormalizability and Phenomenology of theta-expanded Noncommutative Gauge Field Theory
• Noncommutative Standard Model in Top Quark Sector
• Enveloping algebra Noncommutative SM: Renormalisability and High Energy Physics Phenomenology