The Euler-Kockel-Heisenberg Lagrangian at Finite Temperature

TL;DR

This paper explores how finite temperature influences effective quantum electrodynamics (QED) for spinor and scalar fields using Thermo Field Dynamics, focusing on charge renormalization and high-temperature effects on the Lagrangian.

Contribution

It introduces a detailed analysis of temperature effects on effective QED and reexamines charge renormalization at finite temperatures using Thermo Field Dynamics.

Findings

High temperature contributions to the Lagrangian are identified.

Charge renormalization is revisited at finite temperature.

Thermal corrections significantly modify the zero-temperature Lagrangian.

Abstract

In the present work we investigate temperature effects on the spinor and scalar effetive QED in the context of Thermo Field Dynamics. Following Weisskopf's zero-point energy method, the problem of charge renormalization is reexamined and high temperature contributions are extracted from the thermal correction for the Lagrangian densities.