Infrared chiral anomaly at finite temperature

TL;DR

This paper investigates how finite temperature affects the chiral anomaly in the Schwinger model, revealing a temperature-dependent anomaly that scales linearly with temperature and influences multiple correlation functions.

Contribution

It demonstrates that a temperature-dependent chiral anomaly emerges from long-distance electric field behavior at finite temperature, extending understanding of anomalies beyond zero temperature.

Findings

Chiral anomaly depends linearly on temperature at high T

Anomaly appears in all even point amplitudes

Long-distance electric field behavior influences anomaly

Abstract

We study the Schwinger model at finite temperature and show that a temperature dependent chiral anomaly may arise from the long distance behavior of the electric field. At high temperature this anomaly depends linearly on the temperature $T$ and is present not only in the two point function, but also in all even point amplitudes.