Finite Temperature Effective Action in Monopole Background

TL;DR

This paper calculates the finite temperature effective action for massive Dirac fermions around a monopole, revealing temperature-dependent induced charge and a series of CP-violating terms generalizing the zero-temperature $F ilde{F}$ term.

Contribution

It introduces a comprehensive calculation of the finite temperature effective action in a monopole background, extending known zero-temperature results to finite temperature conditions.

Findings

Induced charge depends on temperature.

Presence of an infinite series of CP-violating terms.

Generalization of the zero-temperature $F ilde{F}$ term.

Abstract

We compute the CP-odd part of the finite temperature effective action for massive Dirac fermions in the presence of a Dirac monopole. We confirm that the induced charge is temperature dependent, and in the effective action we find an infinite series of CP-violating terms that generalize the familiar zero temperature $F\tilde{F}$ term. These results are analogous to recent results concerning finite temperature induced Chern-Simons terms.