Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-08-03
Int.J.Mod.Phys.C4:1179-1193,1993
Physics
High Energy Physics
High Energy Physics - Lattice
(Minor changes: Postscript format, typos corrected, language and grammar improved, formula (5) corrected, 1 new citation), 15
Scientific paper
10.1142/S0129183193000938
A detailed investigation of the temperature dependence of the spatial string tension $\sigma_s$ in $SU(2)$ gauge theory is presented. A sustained performance of 3~GFLOPS on a 64K Connection Machine CM-2 equivalent has been achieved. Scaling of $\sigma_s$ between $\beta=2.5115$ and $\beta=2.74$, on large lattices, is demonstrated. Below the critical temperature, $T_c$, $\sigma_s$ remains constant. For temperatures larger than $2T_c$ the temperature dependence can be parametrized by $\sigma_s(T) = (0.369\pm 0.014)^2 g^4(T)T^2$, where $g(T)$ is a 2-loop running coupling constant with the scale parameter determined as $\Lambda_T = (0.076\pm 0.013)T_c$.
Bali Gunnar S.
Fingberg Jochen
Heller Urs M.
Karsch Frithjof
Schilling Klaus
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