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Title: Lattice QCD thermodynamics up to the perturbative regime

Abstract

We study the thermodynamics of the quark gluon plasma with lattice simulations in the continuum limit up to 1 GeV temperature where we show that a perturbative description already applies. We calculate the effect of the presence of charm quark in the equation of state and also describe the topological features of quantum chromodynamics. Thus, this conference contribution is based on Nature 539 (2016) no.7627, 69-71 and Phys.Rev. D92 (2015) no.11, 114505

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [2];  [7];  [8];  [5];  [6];  [1];  [9];  [10];  [11]
  1. Univ. of Houston, Houston, TX (United States)
  2. Julich Supercomputing Centre, Julich (Germany)
  3. Univ. of Wuppertal, Wuppertal (Germany); Julich Supercomputing Centre, Julich (Germany); Eotvos Univ., Budapest (Hungary)
  4. Univ. of Wuppertal, Wuppertal (Germany); Univ. of Regensburg, Regensburg (Germany)
  5. Univ. of Wuppertal, Wuppertal (Germany)
  6. Eotvos Univ., Budapest (Hungary); MTA-ELTE Lendulet Lattice Gauge Theory Research Group, Budapest (Hungary)
  7. Inst. for Nuclear Research of the Hungarian Academy of Sciences, Budapest (Hungary)
  8. J¨ulich Supercomputing Centre, Forschungszentrum J¨ulich, J¨ulich (Germany)
  9. Univ. of Zaragoza, Zaragoza (Spain); Max Planck Inst. fur Kernphysik, Heidelberg (Germany)
  10. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  11. Univ. of Wuppertal, Wuppertal (Germany); Julich Supercomputing Centre, Julich (Germany)
Publication Date:
Research Org.:
Univ. of Houston, Houston, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1501354
Grant/Contract Number:  
FG02-07ER41521
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
Journal Volume: 967; Journal Issue: C; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; lattice QCD; equation of state; fluctuations of conserved charges; topological susceptibility

Citation Formats

Bellwied, R., Borsanyi, Sz., Fodor, Z., Gunther, J., Kampert, K. -H., Katz, S. D., Kawanai, T., Kovacs, T. G., Mages, S. W., Pasztor, A., Pittler, F., Ratti, C., Redondo, J., Ringwald, A., and Szabo, K. K. Lattice QCD thermodynamics up to the perturbative regime. United States: N. p., 2017. Web. doi:10.1016/j.nuclphysa.2017.06.017.
Bellwied, R., Borsanyi, Sz., Fodor, Z., Gunther, J., Kampert, K. -H., Katz, S. D., Kawanai, T., Kovacs, T. G., Mages, S. W., Pasztor, A., Pittler, F., Ratti, C., Redondo, J., Ringwald, A., & Szabo, K. K. Lattice QCD thermodynamics up to the perturbative regime. United States. doi:10.1016/j.nuclphysa.2017.06.017.
Bellwied, R., Borsanyi, Sz., Fodor, Z., Gunther, J., Kampert, K. -H., Katz, S. D., Kawanai, T., Kovacs, T. G., Mages, S. W., Pasztor, A., Pittler, F., Ratti, C., Redondo, J., Ringwald, A., and Szabo, K. K. Mon . "Lattice QCD thermodynamics up to the perturbative regime". United States. doi:10.1016/j.nuclphysa.2017.06.017. https://www.osti.gov/servlets/purl/1501354.
@article{osti_1501354,
title = {Lattice QCD thermodynamics up to the perturbative regime},
author = {Bellwied, R. and Borsanyi, Sz. and Fodor, Z. and Gunther, J. and Kampert, K. -H. and Katz, S. D. and Kawanai, T. and Kovacs, T. G. and Mages, S. W. and Pasztor, A. and Pittler, F. and Ratti, C. and Redondo, J. and Ringwald, A. and Szabo, K. K.},
abstractNote = {We study the thermodynamics of the quark gluon plasma with lattice simulations in the continuum limit up to 1 GeV temperature where we show that a perturbative description already applies. We calculate the effect of the presence of charm quark in the equation of state and also describe the topological features of quantum chromodynamics. Thus, this conference contribution is based on Nature 539 (2016) no.7627, 69-71 and Phys.Rev. D92 (2015) no.11, 114505},
doi = {10.1016/j.nuclphysa.2017.06.017},
journal = {Nuclear Physics. A},
number = C,
volume = 967,
place = {United States},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Fig. 1: Fig. 1: : Top: The QCD equation of state for 2 + 1 and 2 + 1 + 1 flavours of quarks. Left: pressure, Right: trace anomaly Bottom: The Standard Model equation of state. I.e. the effective degrees of freedom gρ for the energy density (more » $ρ$ = $g$$ρ$ $\frac{π^2}{30}$$T$4 gs for the entropy density $s$ = $g$$s$ $\frac{2π^2}{45}$ $T$3), gc for the heat capacity (c = $g$c $\frac{2π^2}{15}$ $T$3) for the Standard Model. Neglecting the cosmological constant, the time dependence of the temperature in the early universe is given by these factors as: $\frac{dT}{ dt}$ = −$\frac{2π^{3/2}}{3\sqrt{5}}$ $\frac{T^3}{M_{PI}}$ $\frac{\sqrt{g_ρg_s}}{g_c}$ , where MPl is the Planck mass. At temperatures T < 1 MeV the equilibrium equation of state becomes irrelevant for cosmology, because of neutrino decoupling. The EoS comes from our calculation up to T = 100 GeV. At higher temperatures the electroweak transition becomes relevant and we use the results of Ref. [10]. Note that for temperatures around the QCD transition non-perturbative QCD effects modify the EoS significantly, compared to the ideal gas limit, an approximation which is often used in cosmology, e.g. gs/gc is reduced from the SB limit by about 35%. Also note that gs/gc has four local minima: near the muon threshold, the QCD transition, the W, Z-boson thresholds and the electroweak transition. For parameterizations for the QCD regime or for the whole temperature range see [5].« less

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Lattice QCD thermodynamics up to the perturbative regime
text, January 2017


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.