Three-loop HTLpt thermodynamics at finite temperature and chemical potential

• DOI: 10.1007/jhep05(2014)027
• Publication Date: 2014-05-08T11:49:19Z
• Authors: Najmul Haque; Aritra Bandyopadhyay; Jens O. Andersen; Munshi G. Mustafa; Michael Strickland; Nan Su
• Keywords: Nuclear and High Energy Physics; Nuclear Theory; High Energy Physics - Lattice (hep-lat); FOS: Physical sciences; 530; QCD; 01 natural sciences; 7. Clean energy; Nuclear Theory (nucl-th); High Energy Physics - Phenomenology; High Energy Physics - Lattice; High Energy Physics - Phenomenology (hep-ph); Phase Diagram of QCD; 0103 physical sciences; Quark-Gluon Plasma; Resummation

48 pages, 14 figures; v2 - published version<br/>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.<br/>