Non-linear electromagnetic interactions in thermal QED

TL;DR

This paper investigates the behavior of non-linear electromagnetic interactions in thermal QED, revealing their temperature dependence and limiting behavior at high temperatures, with implications for understanding thermal effects in quantum electrodynamics.

Contribution

It demonstrates the temperature dependence of Green functions and the finite limit of the effective action as temperature increases, linking thermal and zero-temperature behaviors.

Findings

Green functions' log(T) dependence relates to UV behavior at zero temperature

Effective action approaches a finite limit as T tends to infinity

Thermal action becomes the negative of zero-temperature action in long wavelength limit

Abstract

We examine the behavior of the non-linear interactions between electromagnetic fields at high temperature. It is shown that, in general, the log(T) dependence on the temperature of the Green functions is simply related to their UV behavior at zero-temperature. We argue that the effective action describing the nonlinear thermal electromagnetic interactions has a finite limit as T tends to infinity. This thermal action approaches, in the long wavelength limit, the negative of the corresponding zero-temperature action.