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The absence of the 4$\psi$ divergence in noncommutative chiral models

High Energy Physics - Theory 2008-11-26 v1

Abstract

In this paper we show that in the noncommutative chiral gauge theories the 4-fermion vertices are finite. The 4ψ4\psi-vertices appear in linear order in quantization of the θ\theta-expanded noncommutative gauge theories; in all previously considered models, based on Dirac fermions, the 4ψ4\psi-vertices were divergent and nonrenormalizable.

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Cite

@article{arxiv.0711.0887,
  title  = {The absence of the 4$\psi$ divergence in noncommutative chiral models},
  author = {M. Buric and D. Latas and V. Radovanovic and J. Trampetic},
  journal= {arXiv preprint arXiv:0711.0887},
  year   = {2008}
}

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7 pages