Thermal effective action for 1+1 dimensional massive QED

TL;DR

This paper derives the exact finite-temperature effective action for 1+1 dimensional massive QED using the fermion propagator, enabling systematic calculation of one-loop amplitudes and analysis of thermal effects.

Contribution

It provides an exact fermion propagator and a systematic method to derive the thermal effective action in 1+1 dimensional massive QED, advancing previous approximate approaches.

Findings

Exact fermion propagator obtained

Finite temperature effective action derived

Analysis of the imaginary part of the effective action

Abstract

In continuation of our earlier proposal for evaluating thermal effective actions, we determine the exact fermion propagator in 1+1 dimensional massive QED. This propagator is used to derive the finite temperature effective action of the theory which generates systematically all the one loop Feynman amplitudes calculated in thermal perturbation theory. Various aspects of the effective action including its imaginary part are discussed.