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arXiv · 1103.2528

Three-loop HTL QCD thermodynamics

Jens O. Andersen·Lars E. Leganger·Michael Strickland·Nan Su
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Abstract

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible by finite temperature perturbation theory applied to a non-Abelian gauge theory before the high-temperature infrared catastrophe. All ultraviolet divergences are eliminated by renormalization of the vacuum, the HTL mass parameters, and the strong coupling constant. After choosing a prescription for the mass parameters, the three-loop results for the pressure and trace anomaly are found to be in very good agreement with recent lattice data down to $T \sim 2-3\,T_c$, which are temperatures accessible by current and forthcoming heavy-ion collision experiments.

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Jens O. Andersen, Lars E. Leganger, Michael Strickland, Nan Su. 2011-08-20. Three-loop HTL QCD thermodynamics. https://doi.org/10.1007/jhep08(2011)053

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