Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the χ2-method

We determine the critical point and the ratios βν and γν of critical exponents of the deconfinement transition in SU (2) gauge theory by applying the χ2-method to Monte Carlo data of the modulus and the square of the Polyakov loop. With the same technique we find from the Binder cumulant gr its universal value at the critical point in the thermodynamical limit to −1.403(16) and for the next-to-leading exponent ω = 1 ±0.1. From the derivatives of the Polyakov loop dependent quantities we estimate then 1ν. The result from the derivative of gr is 1ν = 0.63 ± 0.01, in complete agreement with that of the 3d Ising model.