The spatial string tension and dimensional reduction in QCD

M. Cheng, S. Datta, J. van der Heide, K. Huebner, F. Karsch, O. Kaczmarek, E. Laermann, J. Liddle, R. D. Mawhinney, C. Miao, P. Petreczky, K. Petrov, C. Schmidt, W. Soeldner, and T. Umeda

Phys. Rev. D 78, 034506 – Published 21 August 2008

Abstract

We calculate the spatial string tension in ( $2 + 1$ ) flavor QCD with physical strange quark mass and almost physical light quark masses using lattices with temporal extent $N_{τ} = 4$ , 6 and 8. We compare our results on the spatial string tension with predictions of dimensionally reduced QCD. This suggests that also in the presence of light dynamical quarks dimensional reduction works well down to temperatures $1.5 T_{c}$ .

Received 30 June 2008

DOI:https://doi.org/10.1103/PhysRevD.78.034506

Authors & Affiliations

M. Cheng¹, S. Datta², J. van der Heide³, K. Huebner⁴, F. Karsch^3,4, O. Kaczmarek³, E. Laermann³, J. Liddle³, R. D. Mawhinney¹, C. Miao³, P. Petreczky^4,5, K. Petrov⁶, C. Schmidt⁴, W. Soeldner⁴, and T. Umeda⁷

¹Physics Department, Columbia University, New York, New York 10027, USA
²Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
³Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
⁴Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
⁵RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
⁶DESY, Platanenallee 6, Zeuthen, Germany
⁷Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

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Issue

Vol. 78, Iss. 3 — 1 August 2008

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