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Title: Equation of state for QCD at finite temperature and density. Resummation versus lattice data

Abstract

The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite temperature and chemical potential, namely hard-thermal-loop perturbation theory (HTLpt) and dimensional reduction (DR). I will present results for the pressure, trace anomaly, speed of sound, and the quark susceptibilities from a 3-loop HTLpt calculation and for the quark susceptibilities using DR at four loops. A careful comparison with available lattice data shows good agreement for a number of physical quantities.

Authors:
 [1]; ;  [2];  [3];  [4]
  1. Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim (Norway)
  2. Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata-700064 (India)
  3. Department of Physics, Kent State University, Kent, Ohio 44242 (United States)
  4. Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld (Germany)
Publication Date:
OSTI Identifier:
22499010
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CONVERGENCE; DENSITY; EQUATIONS OF STATE; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARKS; SOUND WAVES; VELOCITY

Citation Formats

Andersen, Jens O., Haque, Najmul, Mustafa, Munshi G., Strickland, Michael, and Su, Nan. Equation of state for QCD at finite temperature and density. Resummation versus lattice data. United States: N. p., 2016. Web. doi:10.1063/1.4938592.
Andersen, Jens O., Haque, Najmul, Mustafa, Munshi G., Strickland, Michael, & Su, Nan. Equation of state for QCD at finite temperature and density. Resummation versus lattice data. United States. https://doi.org/10.1063/1.4938592
Andersen, Jens O., Haque, Najmul, Mustafa, Munshi G., Strickland, Michael, and Su, Nan. 2016. "Equation of state for QCD at finite temperature and density. Resummation versus lattice data". United States. https://doi.org/10.1063/1.4938592.
@article{osti_22499010,
title = {Equation of state for QCD at finite temperature and density. Resummation versus lattice data},
author = {Andersen, Jens O. and Haque, Najmul and Mustafa, Munshi G. and Strickland, Michael and Su, Nan},
abstractNote = {The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite temperature and chemical potential, namely hard-thermal-loop perturbation theory (HTLpt) and dimensional reduction (DR). I will present results for the pressure, trace anomaly, speed of sound, and the quark susceptibilities from a 3-loop HTLpt calculation and for the quark susceptibilities using DR at four loops. A careful comparison with available lattice data shows good agreement for a number of physical quantities.},
doi = {10.1063/1.4938592},
url = {https://www.osti.gov/biblio/22499010}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1701,
place = {United States},
year = {Fri Jan 22 00:00:00 EST 2016},
month = {Fri Jan 22 00:00:00 EST 2016}
}