On the anomalies in Lorentz-breaking theories

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.

17 pages, final version including corrections made in Errata

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Cited by in corpus (5)

• No radiative corrections to the Carroll-Field-Jackiw term beyond one-loop order
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Higher-order one-loop contributions in Lorentz-breaking QED
• Axion-Photon Interaction from Nonminimal Dimension-5 Lorentz-Violating Operators
• Lorentz-violating extension of Wigner function formalism and chiral kinetic theory