On the anomalies in Lorentz-breaking theories
A. P. Baeta Scarpelli, T. Mariz, J. R. Nascimento, A. Yu. Petrov
TL;DR
This paper investigates how Lorentz-breaking extensions of QED, including nonminimal couplings, affect the chiral anomaly and induce new terms depending on Lorentz-violating parameters, using Fujikawa formalism and perturbative methods.
Contribution
It introduces a detailed analysis of anomalies in Lorentz-breaking QED with nonminimal couplings, revealing new Lorentz-dependent anomaly terms and examining the emergence of ambiguous CFJ terms.
Findings
Nonminimal couplings induce new anomaly terms dependent on Lorentz violation
Perturbative calculations show no new ambiguous CFJ terms in the effective action
The study clarifies the impact of Lorentz violation on quantum anomalies
Abstract
In this paper, we discuss the chiral anomaly in a Lorentz-breaking extension of QED which, besides the common terms that are present in the Standard Model Extension, includes some dimension-five nonminimal couplings. We find, using the Fujikawa formalism, that these nonminimal couplings induce new terms in the anomaly which depend on the Lorentz-violating parameters. Perturbative calculations are also carried out in order to investigate whether or not new ambiguous Carroll-Field-Jackiw terms are induced in the effective action.
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