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arXiv · 1402.6907

Three-loop HTLpt thermodynamics at finite temperature and chemical potential

Najmul Haque·Aritra Bandyopadhyay·Jens O. Andersen·Munshi G. Mustafa·Michael Strickland·Nan Su
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Abstract

We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic thermodynamic potential allows us to compute the pressure, energy density, and entropy density of the quark-gluon plasma. Using these we calculate the trace anomaly, speed of sound, and second-, fourth-, and sixth-order quark number susceptibilities. For all observables considered we find good agreement between our three-loop HTLpt calculations and available lattice data for temperatures above approximately 300 MeV.

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Najmul Haque, Aritra Bandyopadhyay, Jens O. Andersen, Munshi G. Mustafa, Michael Strickland, Nan Su. 2014-05-12. Three-loop HTLpt thermodynamics at finite temperature and chemical potential. https://doi.org/10.1007/jhep05(2014)027

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