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19 April 2024

» arxiv » hep-lat/0105012

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Thermodynamics of SU(3) gauge theory on anisotropic lattices
CP-PACS Collaboration ; Y. Namekawa ; S. Aoki ; R. Burkhalter ; S. Ejiri ; M. Fukugita ; S. Hashimoto ; N. Ishizuka ; Y. Iwasaki ; K. Kanaya ; T. Kaneko ; Y. Kuramashi ; V. Lesk ; M. Okamoto ; M. Okawa ; Y. Taniguchi ; A. Ukawa ; T. Yoshié ;
Date:	15 May 2001
Journal:	Phys.Rev. D64 (2001) 074507
Subject:	hep-lat
Abstract:	Finite temperature SU(3) gauge theory is studied on anisotropic lattices using the standard plaquette gauge action. The equation of state is calculated on $16^{3} imes 8$, $20^{3} imes 10$ and $24^{3} imes 12$ lattices with the anisotropy $xi equiv a_s / a_t = 2$, where $a_s$ and $a_t$ are the spatial and temporal lattice spacings. Unlike the case of the isotropic lattice on which $N_t=4$ data deviate significantly from the leading scaling behavior, the pressure and energy density on an anisotropic lattice are found to satisfy well the leading $1/N_t^2$ scaling from our coarsest lattice, $N_t/xi=4$. With three data points at $N_t/xi=4$, 5 and 6, we perform a well controlled continuum extrapolation of the equation of state. Our results in the continuum limit agree with a previous result from isotropic lattices using the same action, but have smaller and more reliable errors.
Source:	arXiv, hep-lat/0105012
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