Light-front Schwinger Model at Finite Temperature

TL;DR

This paper investigates the light-front Schwinger model at finite temperature, demonstrating that calculations using the full fermion propagator are efficient and consistent with conventional results, especially regarding anomalies and condensates.

Contribution

It introduces a method to compute finite temperature effects in the light-front Schwinger model using the full propagator, avoiding regularization subtleties and aligning with conventional quantization results.

Findings

Temperature corrections to the anomaly vanish.

Gauge self-energy shows expected non-analytic behavior.

Fermion condensate remains unchanged at finite temperature.

Abstract

We study the light-front Schwinger model at finite temperature following the recent proposal in \cite{alves}. We show that the calculations are carried out efficiently by working with the full propagator for the fermion, which also avoids subtleties that arise with light-front regularizations. We demonstrate this with the calculation of the zero temperature anomaly. We show that temperature dependent corrections to the anomaly vanish, consistent with the results from the calculations in the conventional quantization. The gauge self-energy is seen to have the expected non-analytic behavior at finite temperature, but does not quite coincide with the conventional results. However, the two structures are exactly the same on-shell. We show that temperature does not modify the bound state equations and that the fermion condensate has the same behavior at finite temperature as that obtained in the conventional quantization.