Gauge anomalies in Lorentz-violating QED

Abstract

In this work we study the issue of gauge anomalies in Lorentz-violating QED. To do so, we opt to use the Becchi-Rouet-Stora-Tyutin formalism within the algebraic renormalization approach, reducing our study to a cohomology problem. Since this approach is independent of the renormalization scheme, the results obtained here are expected to be general. We find that the Lorentz-violating QED is free of gauge anomalies to all orders in perturbation theory.

arXiv comment17 pages

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• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background