Induced Parity-Breaking Term at Finite Chemical Potential and Temparature

TL;DR

This paper precisely computes the parity-odd effective action term induced by fermions in 2+1 dimensions at finite temperature and chemical potential, confirming gauge invariance and exploring more general background configurations.

Contribution

It provides an exact calculation of the parity-odd term at finite temperature and chemical potential, extending understanding of gauge invariance in these conditions.

Findings

Gauge invariance is preserved in the induced parity-odd term.

Exact calculation of the parity-odd term at finite temperature and chemical potential.

Extension to more general background configurations requiring reduced 1+1 determinant.

Abstract

We exactly calculated the parity-odd term of the effective action induced by the fermions in 2+1 dimensions at finite chemical potential and finite temperature. It shows that gauge invariance is still respected. A more gerneral class of background configurations is considered. The knowledge of the reduced 1+1 determinant is required in order to draw exact conclusions about the gauge invariance of the parity-odd term in this latter case.