Two-loop HTL Thermodynamics with Quarks

Details Two-loop HTL Thermodynamics with Quarks Two-loop HTL Thermodynamics with Quarks

2003-02-10

arxiv.org/abs/hep-ph/0302069v1

Phys.Rev. D70 (2004) 045001

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 6 figures

Scientific paper

10.1103/PhysRevD.70.045001

We calculate the quark contribution to the free energy of a hot quark-gluon plasma to two-loop order using hard-thermal-loop (HTL) perturbation theory. All ultraviolet divergences can be absorbed into renormalizations of the vacuum energy and the HTL quark and gluon mass parameters. The quark and gluon HTL mass parameters are determined self-consistently by a variational prescription. Combining the quark contribution with the two-loop HTL perturbation theory free energy for pure-glue we obtain the total two-loop QCD free energy. Comparisons are made with lattice estimates of the free energy for N_f=2 and with exact numerical results obtained in the large-N_f limit.

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