Lorentz-violating Yang–Mills theory: discussing the Chern–Simons-like term generation

• Published in: The European physical journal. C, Particles and fields Vol. 77; no. 12; pp. 1 - 10
• Main Authors: Santos, Tiago R. S., Sobreiro, Rodrigo F.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2017; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Anomalies; Astronomy; Astrophysics and Cosmology; Elementary Particles; Fermions; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Perturbation theory; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Stability analysis; String Theory; Yang-Mills theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-017-5472-7

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.