Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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REVTEX, 31 pages, 16 figures

Scientific paper

10.1103/PhysRevD.72.125005

We study the thermodynamics of QCD in the limit of large flavor number (N_f) and test the proposal to resum the physics of hard thermal loops (HTL) through a nonperturbative expression for the entropy obtained from a Phi-derivable two-loop approximation. The fermionic contribution to the entropy involves a full next-to-leading order evaluation of the asymptotic thermal quark mass, which is non-local, and for which only a weighted average value was known previously. For a natural choice of renormalization scale we find remarkably good agreement of the next-to-leading-order HTL results for the fermion self energy and in turn for the entropy with the respective exact large-N_f results even at very large coupling.

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