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

الأصل · EN

We determine the critical couplings for the deconfinement phase transition in SU(2) gauge theory on Nτ× Nσ³ lattices with Nτ= 8 and 16 and Nσ varying between 16 and 48. A comparison with string tension data shows scaling of the ratio Tc / √σ in the entire coupling regime β=2.30-2.75, while the individual quantities still exhibit large scaling violations. We find Tc / √σ=0.69(2). We also discuss in detail the extrapolation of Tc / LambdaM S and √σ / LambdaMS to the continuum limit. Our result, which is consistent with the above ratio, is Tc / LambdaMS = 1.23(11) and √σ / LambdaMS = 1.79(12). We also comment upon corresponding results for SU(3) gauge theory and four flavour QCD.