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

2007/04/30 by M. Gomes, J. R. Nascimento, E. Passos +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.76.047701

published as Phys.Rev.D76:047701,2007 · accepted version in Physical Review D

arxiv created 2007/07/26 · openalex publication_date 2007/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Supersymmetric noncommutative QED and Lorentz violation
• Lorentz invariance and quantum gravity: an additional fine-tuning problem?
• Gauge invariance and the Pauli-Villars regulator in Lorentz- and CPT-violating electrodynamics

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• Dynamical Lorentz andCPTsymmetry breaking in a 4D four-fermion model