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.

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      "value": "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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Published on:
07 May 2014
Publisher:
Springer/SISSA
Published in:
Journal of High Energy Physics (2014)

DOI:
https://doi.org/10.1007/JHEP05(2014)027
arXiv:
1402.6907
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: