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Hard-thermal-loop QCD thermodynamics. (English) Zbl 1221.81165

Summary: Naively resummed perturbative approximations to the thermodynamic functions of QCD do not converge at phenomenologically relevant temperatures. Here we review recent results of a three-loop hard-thermal-loop perturbation theory calculation of the thermodynamic functions of a quark-gluon plasma for general \(N_c\) and \(N_f\). We show comparisons of our recent results with lattice data from both the hotQCD and Wuppertal-Budapest groups. We demonstrate that the three-loop hard-thermal-loop perturbation result for QCD thermodynamics agrees with lattice data down to temperatures \(T \sim 2 T_c\).

MSC:

81V05 Strong interaction, including quantum chromodynamics
82B30 Statistical thermodynamics
82B10 Quantum equilibrium statistical mechanics (general)
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