Finite temperature QCD using $2+1$ flavors of domain wall fermions at ${N}_{t}=8$

Finite temperature QCD using $2 + 1$ flavors of domain wall fermions at $N_{t} = 8$

Michael Cheng, Norman H. Christ, Min Li, Robert D. Mawhinney, Dwight Renfrew, Prasad Hegde, Frithjof Karsch, Meifeng Lin, and Pavlos Vranas

Phys. Rev. D 81, 054510 – Published 30 March 2010

Abstract

We study the region of the QCD phase transition using $2 + 1$ flavors of domain wall fermions and a $16^{3} \times 8$ lattice volume with a fifth dimension of $L_{s} = 32$ . The disconnected light quark chiral susceptibility, quark number susceptibility, and the Polyakov loop suggest a chiral and deconfining crossover transition lying between 155 and 185 MeV for our choice of quark mass and lattice spacing. In this region the lattice scale deduced from the Sommer parameter $r_{0}$ is $a^{- 1} \approx 1.3 GeV$ , the pion mass is $\approx 300 MeV$ , and the kaon mass is approximately physical. The peak in the chiral susceptibility implies a pseudocritical temperature $T_{c} = 171 (10) (17) MeV$ where the first error is associated with determining the peak location and the second with our unphysical light quark mass and nonzero lattice spacing. The effects of residual chiral symmetry breaking on the chiral condensate and disconnected chiral susceptibility are studied using several values of the valence $L_{s}$ .

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Received 30 November 2009

DOI:https://doi.org/10.1103/PhysRevD.81.054510

Authors & Affiliations

Michael Cheng^*, Norman H. Christ, Min Li, Robert D. Mawhinney, and Dwight Renfrew

Department of Physics, Columbia University, New York, New York 10027, USA

Prasad Hegde

Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794-3800, USA

Frithjof Karsch

Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA and Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany

Meifeng Lin^†

Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Pavlos Vranas

Lawrence Livermore National Laboratory, Livermore, California 94550, USA

^*Current address: Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA.
^†Current address: Department of Physics, Sloane Laboratory, Yale University, New Haven, CT 06520, USA.

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Vol. 81, Iss. 5 — 1 March 2010

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Physical Review D

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