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. 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 2-3\$
\$T\_c\$, which are temperatures accessible by current and forthcoming heavy-ion
collision experiments.
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