Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature

TL;DR

This paper investigates the behavior of higher-derivative Lorentz-breaking terms in extended QED at finite temperature, revealing new terms that mostly vanish at high temperatures, with implications for Lorentz symmetry violations.

Contribution

It introduces the finite temperature analysis of higher-derivative Lorentz-breaking terms in extended QED, identifying new terms and their temperature-dependent behavior.

Findings

Several new Lorentz-breaking terms appear at finite temperature.

Most of these new terms vanish in the high temperature limit.

The study clarifies the finiteness and ambiguities of these terms.

Abstract

In this paper we discuss finiteness and ambiguities of the higher-derivative Lorentz-breaking terms in extended QED with a magnetic coupling at the finite temperature. We find that, beside of the higher-derivative Carroll-Field-Jackiw-like term and Myers-Pospelov term, many new terms arise in a finite temperature case, but most of them vanish in high temperature limit.