Open problems in hot QCD

TL;DR

This paper reviews the main methods used in multi-loop calculations in finite-temperature QCD, highlighting differences from zero-temperature cases and providing clear examples to clarify the techniques involved.

Contribution

It offers a comprehensive overview of computational methods in hot QCD, emphasizing their adaptation from zero-temperature techniques and illustrating them with explicit examples.

Findings

Comparison of finite-temperature and zero-temperature techniques

Clarification of multi-loop calculation methods in hot QCD

Identification of commonalities and differences in computational approaches

Abstract

We try to give a comprehensive review of the main methods used in modern multi-loop calculations in finite-temperature field theory. While going through explicit examples, we point out similarities and differences with respect to the zero-temperature case, utilizing common techniques in a transparent way whenever possible.