General Correlation Functions in the Schwinger Model at Zero and Finite Temperature

TL;DR

This paper computes and compares fermionic correlation functions in the Schwinger model at zero and finite temperatures, providing a clearer understanding of temperature effects on these correlations.

Contribution

It introduces a simplified method to derive finite temperature correlation functions from zero temperature results in the Schwinger model.

Findings

Finite temperature Green's functions are explicitly calculated.

Finite temperature results on the torus are compared to those on the plane.

A simplified approach links zero and finite temperature correlation structures.

Abstract

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's function is computed and the results on the torus are compared to those on the plane. It is concluded that a simpler way to calculate the finite temperature results is to associate certain terms in the zero temperature structure with their finite temperature counterparts.