NNLO hard-thermal-loop thermodynamics for QCD

Jens O. Andersen; Lars E. Leganger; Michael Strickland; Nan Su

NNLO hard-thermal-loop thermodynamics for QCD

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arxiv 1009.4644 v1 pith:WPN6LU4A submitted 2010-09-23 hep-ph hep-latnucl-th

NNLO hard-thermal-loop thermodynamics for QCD

Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su This is my paper

classification hep-ph hep-latnucl-th

keywords hard-thermal-looporderabsorbedagreementanomalycalculateconstantcoupling

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We calculate the thermodynamic functions of a quark-gluon plasma for general N_c and N_f to three-loop order using hard-thermal-loop perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations of the vacuum, the HTL mass parameters, and the strong coupling constant.We show that at three loops, the results for the pressure and trace anomaly are in very good agreement with recent lattice data down to temperatures T~2T_c.

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