Phenomenological renormalization and scaling behaviour of SU(2) lattice gauge theory

Near the deconfinement transition of SU(2) gauge theory the finite-size scaling behaviour of the order parameter, the susceptibility and the normalized fourth cumulant gr is studied on Nσ3xNτ lattices with Nτ=4 and 6 and Nσ=8, 12, 18, 24 or 26. For that purpose we have calculated new high-statistics data for Nτ=6 and re-evaluated previous results obtained for Nτ=4. In both cases we used the density of states method. We determine the critical coupling and with a new of phenomenological renormalization the critical exponents. For Nτ=6 we find that 4/gc,∞2=2.4265(30). Using the results for the critical temperature obtained for different Nτ we examine the approach to asymptotic scaling. (orig.)