On the perturbative generation of the higher-derivative Lorentz-breaking terms
T. Mariz, J. R. Nascimento, A. Yu. Petrov

TL;DR
This paper calculates the one-loop perturbative generation of higher-derivative Lorentz-breaking terms for gauge fields, demonstrating their finiteness and ambiguity, contributing to understanding Lorentz violation in quantum field theory.
Contribution
It explicitly derives the Myers-Pospelov and higher-derivative Carroll-Field-Jackiw terms at one-loop, advancing the theoretical understanding of Lorentz-breaking modifications.
Findings
Terms are finite and ambiguous
Explicit one-loop calculations of Lorentz-breaking terms
Enhanced understanding of Lorentz violation in gauge theories
Abstract
In this paper, we describe the perturbative generation of the higher-derivative Lorentz-breaking terms for the gauge field, that is, the Myers-Pospelov term and the higher-derivative Carroll-Field-Jackiw term. These terms are explicitly calculated in the one-loop approximation and shown to be finite and ambiguous.
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