Light-front Schwinger model at finite temperature

We study the light-front Schwinger model at finite temperature following the recent proposal of Alves, Das, and Perez. 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 conventional quantization. The gauge self-energy is seen to have the expected nonanalytic 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 the temperature does not modify the bound state equations and that the fermion condensate has the same behavior at finite temperature as that obtained in conventional quantization