2014/02/28 by Najmul Haque, Aritra Bandyopadhyay, Jens O. Andersen +3 · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1007/jhep05(2014)027
published as JHEP 1405 (2014) 027 · 48 pages, 14 figures; v2 - published version
arxiv created 2014/05/12 · arxiv updated 2016/03/15
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.