Thermal Gauge Field Theories

TL;DR

This paper reviews thermal gauge field theories, focusing on gauge dependence issues, next-to-leading order corrections, and the role of thermal masses in improving the convergence of thermal perturbation theory.

Contribution

It provides a comprehensive review of gauge theories at finite temperature, including gauge dependence, higher-order corrections, and strategies to address perturbative convergence problems.

Findings

Analysis of gauge dependence in quasiparticle spectra

Survey of next-to-leading order corrections in non-Abelian plasmas

Discussion of thermal mass effects on perturbative convergence

Abstract

The real- and imaginary-time-formalisms of thermal field theory and their extension to gauge theories is reviewed. Questions of gauge (in-)dependence are discussed in detail, in particular the possible gauge dependences of the singularities of dressed propagators from which the quasiparticle spectrum is obtained. The existing results on next-to-leading order corrections to non-Abelian screening and dispersion laws of hard-thermal-loop quasiparticles are surveyed. Finally, the role of the asymptotic thermal masses in self-consistent approximations to thermodynamic potentials is described and it is shown how the problem of the apparently poor convergence of thermal perturbation theory might be overcome.