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arXiv · hep-lat/9208012

Scaling and Asymptotic Scaling in the SU(2) Gauge Theory

J. Fingberg·U. M. Heller·F. Karsch
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Abstract

We determine the critical couplings for the deconfinement phase transition in $SU(2)$ gauge theory on $N_τ\times N_σ^3$ lattices with $N_τ= 8$ and 16 and $N_σ$ varying between 16 and 48. A comparison with string tension data shows scaling of the ratio $T_c / \sqrtσ$ in the entire coupling regime $β=2.30-2.75$, while the individual quantities still exhibit large scaling violations. We find $T_c / \sqrtσ=0.69(2)$. We also discuss in detail the extrapolation of $T_c / Lambda_{\rm{\bar{M} \bar{S}}}$ and $\sqrtσ / Lambda_{\rm{\bar{M}\bar{S}}}$ to the continuum limit. Our result, which is consistent with the above ratio, is $T_c / Lambda_{\rm{\bar{M}\bar{S}}} = 1.23(11)$ and $\sqrtσ / Lambda_{\rm{\bar{M}\bar{S}}} = 1.79(12)$. We also comment upon corresponding results for $SU(3)$ gauge theory and four flavour QCD.

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J. Fingberg, U. M. Heller, F. Karsch. 1992-09-03. Scaling and Asymptotic Scaling in the SU(2) Gauge Theory. https://doi.org/10.1016/0550-3213(93)90682-f

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