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CPT-violating $z = 3$ $z = 3$ Horava–Lifshitz QED and generation of the Carroll–Field–Jackiw term

T. Mariz

Instituto de Física, Universidade Federal de Alagoas, 57072-900, Maceió, Alagoas, Brazil

E-mail Address: tmariz@fis.ufal.br

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R. Martinez

Instituto de Física, Universidade Federal de Alagoas, 57072-900, Maceió, Alagoas, Brazil

E-mail Address: rmartinez@fis.ufal.br

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J. R. Nascimento

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

E-mail Address: jroberto@fisica.ufpb.br

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, and

A. Yu. Petrov

https://orcid.org/0000-0003-4516-655X

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

E-mail Address: petrov@fisica.ufpb.br

Corresponding author.

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https://doi.org/10.1142/S0217751X21500810Cited by:0 (Source: Crossref)

Abstract

We study the new extension of the $z = 3$ $z = 3$ Horava–Lifshitz QED involving a CPT-breaking term, characterized by the axial vector $b_{0, i}$ $b_{0, i}$ , and calculate the Carroll–Field–Jackiw (CFJ) term in the one-loop approximation. Explicitly, we use two regularization schemes and demonstrate that in our case, the CFJ term is finite but ambiguous, so that its exact coefficient depends on the used regularization.

Keywords:

PACS: 11.15.−q, 11.30.Cp

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