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Equation of state for pure SU(3) gauge theory with renormalization group improved action

M. Okamoto1, A. Ali Khan2, S. Aoki1, R. Burkhalter1,2, S. Ejiri2, M. Fukugita3, S. Hashimoto4, N. Ishizuka1,2, Y. Iwasaki1,2 et al. (CP-PACS Collaboration)

Y. Iwasaki1,2, K. Kanaya1,2, T. Kaneko2, Y. Kuramashi5,*, T. Manke2, K. Nagai2, M. Okawa4, A. Ukawa1,2, and T. Yoshié1,2 (CP-PACS Collaboration)

  • 1Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
  • 2Center for Computational Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
  • 3Institute for Cosmic Ray Research, University of Tokyo, Tanashi, Tokyo 188-8502, Japan
  • 4High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
  • 5Department of Physics, Washington University, St. Louis, Missouri 63130

  • *On leave from Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan.

Phys. Rev. D 60, 094510 – Published 8 October, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.094510

Abstract

A lattice study of the equation of state for pure SU(3) gauge theory using a renormalization-group (RG) improved action is presented. The energy density and pressure are calculated on a 163×4 and a 323×8 lattice employing the integral method. Extrapolating the results to the continuum limit, we find the energy density and pressure to be in good agreement with those obtained with the standard plaquette action within the error of 3–4 %.

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