A Remark on Lorentz Violation at Finite Temperature
F.A. Brito, T. Mariz, J.R. Nascimento, E. Passos, and R.F. Ribeiro
TL;DR
This paper studies how a Lorentz- and CPT-violating Chern-Simons-like term behaves at finite temperature, revealing its temperature dependence and scheme-independence in certain aspects despite being undetermined.
Contribution
It demonstrates the temperature dependence of the Chern-Simons-like term and discusses its ambiguity across different regularization schemes at finite temperature.
Findings
The Chern-Simons-like term depends on temperature.
The term remains undetermined despite scheme variations.
It can be unambiguously identified in some regularization schemes.
Abstract
We investigate the radiatively induced Chern-Simons-like term in four-dimensional field theory at finite temperature. The Chern-Simons-like term is temperature dependent and breaks the Lorentz and CPT symmetries. We find that this term remains undetermined although it can be found unambiguously in different regularization schemes at finite temperature.
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