Lorentz-CPT violation, radiative corrections and finite temperature

TL;DR

This paper investigates the radiative generation of Chern-Simons-like terms in four-dimensional spacetime at both zero and finite temperature, revealing that the coefficient remains undetermined despite regularization scheme choices.

Contribution

The study demonstrates that the coefficient of the Chern-Simons term is ambiguous across different regularization schemes at finite and zero temperature, providing insights into CPT violation effects.

Findings

Coefficient remains undetermined across schemes

Finite and zero temperature results are consistent

Radiative corrections induce Chern-Simons-like terms

Abstract

In this work we investigate the radiatively induced Chern-Simons-like terms in four-dimensions at zero and finite temperature. We use the approach of rationalizing the fermion propagator up to the leading order in the CPT-violating coupling $b_\mu$. In this approach, we have shown that although the coefficient of Chern-Simons term can be found unambiguously in different regularization schemes at zero or finite temperature, it remains undetermined. We observe a correspondence among results obtained at finite and zero temperature.