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Phys. Rev. D 80, 014504 (2009) [24 pages]

Equation of state and QCD transition at finite temperature

A. Bazavov,1 T. Bhattacharya,2 M. Cheng,3 N. H. Christ,4 C. DeTar,5 S. Ejiri,8 Steven Gottlieb,6 R. Gupta,2 U. M. Heller,7 K. Huebner,8 C. Jung,8 F. Karsch,8,9 E. Laermann,9 L. Levkova,5 C. Miao,8 R. D. Mawhinney,4 P. Petreczky,8,10 C. Schmidt,9 R. A. Soltz,3 W. Soeldner,11 R. Sugar,12 D. Toussaint,1 and P. Vranas3
1Physics Department, University of Arizona, Tucson, Arizona 85721, USA
2Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
3Physics Division, Lawrence Livermore National Laboratory, Livermore California 94550, USA
4Physics Department, Columbia University, New York, New York 10027, USA
5Physics Department, University of Utah, Salt Lake City, Utah 84112, USA
6Physics Department, Indiana University, Bloomington, Indiana 47405, USA
7American Physical Society, One Research Road, Ridge, New York 11961, USA
8Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
9Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
10RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
11ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Planckstr. 1, D-64291 Darmstadt, Germany
12Physics Department, University of California, Santa Barbara, California 93106, USA

Received 4 April 2009; published 17 July 2009

We calculate the equation of state in 2+1 flavor QCD at finite temperature with physical strange quark mass and almost physical light quark masses using lattices with temporal extent Ntau=8. Calculations have been performed with two different improved staggered fermion actions, the asqtad and p4 actions. Overall, we find good agreement between results obtained with these two O(a2) improved staggered fermion discretization schemes. A comparison with earlier calculations on coarser lattices is performed to quantify systematic errors in current studies of the equation of state. We also present results for observables that are sensitive to deconfining and chiral aspects of the QCD transition on Ntau=6 and 8 lattices. We find that deconfinement and chiral symmetry restoration happen in the same narrow temperature interval. In an appendix we present a simple parametrization of the equation of state that can easily be used in hydrodynamic model calculations. In this parametrization we include an estimate of current uncertainties in the lattice calculations which arise from cutoff and quark mass effects.

©2009 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.80.014504
DOI: 10.1103/PhysRevD.80.014504
PACS: 11.15.Ha; 12.38.Gc

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