Three-loop HTLpt thermodynamics at finite temperature and chemical potential
Najmul Haque (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India); Aritra Bandyopadhyay (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India); Jens Andersen (Department of Physics, Norwegian University of Science and Technology, N-7491, Trondheim, Norway); Munshi Mustafa (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India); Michael Strickland (Department of Physics, Kent State University, Kent, Ohio, 44242, United States); et al - Show all 6 authors
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.
