Regular Article - Theoretical Physics
Lorentz-violating Yang–Mills theory: discussing the Chern–Simons-like term generation
Instituto de Física, UFF-Universidade Federal Fluminense, Campus da Praia Vermelha, Avenida General Milton Tavares de Souza s/n, Niterói, RJ, 24210-346, Brazil
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Accepted: 14 December 2017
Published online: 23 December 2017
We analyze the Chern–Simons-like term generation in the CPT-odd Lorentz-violating Yang–Mills theory interacting with fermions. Moreover, we study the anomalies of this model as well as its quantum stability. The whole analysis is performed within the algebraic renormalization theory, which is independent of the renormalization scheme. In addition, all results are valid to all orders in perturbation theory. We find that the Chern–Simons-like term is not generated by radiative corrections, just like its Abelian version. Additionally, the model is also free of gauge anomalies and quantum stable.
© The Author(s), 2017