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Finite Temperature Phase Structure for SU(2) with a Mixed Action

The modified Migdal–Kadanoff (MK) renormalization transformation is applied to SU(2) lattice gauge theory (LGT) with a mixed action at finite temperature. The renormalization trajectory distributions and the phase structures in the whole coupling parameter space are obtained. Using the dependence of transition temperature on the coupling, the scaling behavior is found in the weak coupling region of β ≥ 1.20. Numerical calculation gives the value of critical temperature Tc = 0.682Λmom. It is close to the data from the Monte Carlo simulation.