Three-loop HTLpt thermodynamics at finite temperature and chemical potential

Haque, Najmul (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India) ; Bandyopadhyay, Aritra (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India) ; Andersen, Jens (Department of Physics, Norwegian University of Science and Technology, N-7491, Trondheim, Norway) ; Mustafa, Munshi (Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700107, India) ; Strickland, Michael (Department of Physics, Kent State University, Kent, Ohio, 44242, United States) ; Su, Nan (Faculty of Physics, University of Bielefeld, D-33615, Bielefeld, Germany)

08 May 2014

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.


Published in: JHEP 1405 (2014) 027
Published by: Springer/SISSA
DOI: 10.1007/JHEP05(2014)027
arXiv: 1402.6907
License: CC-BY-4.0



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