Induction of the higher-derivative Chern-Simons extension in QED$_3$

TL;DR

This paper investigates how higher-derivative Chern-Simons terms are generated in three-dimensional QED, analyzing their behavior at different temperatures and showing their temperature-dependent contributions.

Contribution

It provides the first perturbative derivation of the higher-derivative Chern-Simons extension in QED$_3$ at finite temperature, highlighting its temperature-dependent properties.

Findings

Higher-derivative Chern-Simons term vanishes at infinite temperature.

Only the covariant part remains at zero temperature.

Non-covariant part peaks at intermediate temperatures.

Abstract

We perform the perturbative generation of the higher-derivative Chern-Simons contribution to the effective action in the three-dimensional QED at zero and finite temperature. In the latter case, we show that as the temperature goes to infinity this contribution vanishes. However, as expected, as the temperature goes to zero only the covariant part survives. The non-covariant part contributes only in intermediate temperatures where presents a maximum.