Monte Carlo renormalization-group study of the finite-temperature phase transition in SU(2) gauge theory

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Abstract
The critical behavior of the SU(2) gauge theory near the deconfinement temperature is studied by the Monte Carlo renormalization-group method applied directly to the three-dimensional system of thermal Wilson loops. A blocking transformation, optimized to move the critical point as close as possible to the physical axis in the parameter space, gives a value of ν=0.59±0.05 for the correlation (critical) exponent. This value is in excellent agreement with predictions that the system is in the same universality class as the three-dimensional Ising model.