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Induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action

M. Gomes1,*, J. R. Nascimento1,2,†, E. Passos2,§, A. Yu. Petrov2,∥, and A. J. da Silva1,‡

  • 1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo, SP, Brazil
  • 2Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

  • *mgomes@fma.if.usp.br
  • †jroberto@fma.if.usp.br
  • ‡ajsilva@fma.if.usp.br
  • §passos@fisica.ufpb.br
  • ∥petrov@fisica.ufpb.br
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Phys. Rev. D 76, 047701 – Published 2 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.047701

Abstract

A four-dimensional Lorentz-breaking non-Abelian Chern-Simons-like action is generated as a one-loop perturbative correction via an appropriate Lorentz-breaking coupling of the non-Abelian gauge field to a spinor field. This term is shown to be regularization dependent, but nevertheless it can be found unambiguously in different regularization schemes at zero and at finite temperature.

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Phys. Rev. D 76, 047701– Published 2 August, 2007
  • Received 16 April 2007

© 2007 American Physical Society

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