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29 March 2024
 
  » arxiv » hep-lat/9408009

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Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory
J. Engels ; F. Karsch ; K. Redlich ;
Date 8 Aug 1994
Journal Nucl.Phys. B435 (1995) 295-310
Subject hep-lat
AbstractThe lattice data for the energy density of $SU(2)$ gauge theory are calculated with op~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the op~beta function in accord with the measured critical temperature and $Deltaeta-$values and ii) a op~calculation of the presssure. We then perform a detailed finite size scaling analysis of the energy density near $T_c$. It is shown that at the critical temperature the energy density is scaling as a function of $VT^3$ with the corresponding $3d$ Ising model critical exponents. The value of $epsilon(T_c)/T^4_c$ in the continuum limit is estimated to be 0.256(23). In the high temperature regime the energy density is approaching its weak coupling limit from below, at $T/T_c approx 2$ it has reached only about $70\%$ of the limit.
Source arXiv, hep-lat/9408009
Other source [GID 199277] hep-lat/9408009
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