Three-loop HTL QCD thermodynamics

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.

Note:

27 pages, 11 figures; corresponds with published version in JHEP

NLO Computations
Thermal Field Theory
QCD
gauge field theory: nonabelian
quark gluon: plasma
heavy ion: scattering
perturbation theory
hard thermal loop approximation
quantum chromodynamics
finite temperature

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