We calculate the thermodynamic functions of Yang-Mills theory to three-loop order using the hard-thermal-loop perturbation theory reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop perturbation theory is compatible with lattice results for the pressure, energy density, and entropy down to temperatures T ~ 2 - 3 T_c.
@article{arxiv.0911.0676,
title = {Gluon Thermodynamics at Intermediate Coupling},
author = {Jens O. Andersen and Michael Strickland and Nan Su},
journal= {arXiv preprint arXiv:0911.0676},
year = {2015}
}