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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) througha nonperturbative expression for the entropy obtained from a Phi-derivabletwo-loop approximation. The fermionic contribution to the entropy involves afull next-to-leading order evaluation of the asymptotic thermal quark mass,which is non-local, and for which only a weighted average value was knownpreviously. For a natural choice of renormalization scale we find remarkablygood agreement of the next-to-leading-order HTL results for the fermion selfenergy and in turn for the entropy with the respective exact large-N_f resultseven at very large coupling.Comment: REVTEX, 31 pages, 16 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Asymptotic thermal quark masses and the entropy of QCD in the large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub></mml:math>limit

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