The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
Peter Arnold, Chengxing Zhai
TL;DR
This work analytically computed the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential, which requires the evaluation of three-loop diagrams, and extends the previous result for pure gauge QCD.
Abstract
We compute the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential. Specifically, we analytically compute the free energy through $O(g^4)$, which requires the evaluation of three-loop diagrams. This computation extends our previous result for pure gauge QCD.