Three-loop HTL gluon thermodynamics at intermediate coupling

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages, 13 figs. 2nd version: improved discussion and fixing typos. Published in JHEP

Scientific paper

10.1007/JHEP08(2010)113

We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) 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 $T\simeq3\;T_c$. Our results suggest that HTLpt provides a systematic framework that can used to calculate static and dynamic quantities for temperatures relevant at LHC.

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