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 $T\sim 2–3T_c$.

• Received 9 November 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.122003