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Quark number susceptibilities from HTL-resummed thermodynamics

J. -P. Blaizot·E. Iancu·A. Rebhan
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Abstract

We compute analytically the diagonal quark number susceptibilities for a quark-gluon plasma at finite temperature and zero chemical potential, and compare with recent lattice results. The calculation uses the approximately self-consistent resummation of hard thermal and dense loops that we have developed previously. For temperatures between 1.5 to 5 $T_c$, our results follow the same trend as the lattice data, but exceed them in magnitude by about 5-10%. We also compute the lowest order contribution, of order $α_s^3\log(1/α_s)$, to the off-diagonal susceptibility. This contribution, which is not a part of our self-consistent calculation, is numerically small, but not small enough to be compatible with a recent lattice simulation.

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J. -P. Blaizot, E. Iancu, A. Rebhan. 2001-10-31. Quark number susceptibilities from HTL-resummed thermodynamics. https://doi.org/10.1016/s0370-2693(01)01316-8

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