%0 Journal Article
%T Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the $¦Ö^2$-method
%A J. Engels
%A S. Mashkevich
%A T. Scheideler
%A G. Zinovjev
%J Physics
%D 1995
%I arXiv
%R 10.1016/0370-2693(95)01280-X
%X We determine the critical point and the ratios $\beta/\nu$ and $\gamma/\nu$ of critical exponents of the deconfinement transition in $SU(2)$ gauge theory by applying the $\chi^2$-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 $g_r$ its universal value at the critical point in the thermodynamical limit to $-1.403(16)$ and for the next-to-leading exponent $\omega=1\pm0.1$. From the derivatives of the Polyakov loop dependent quantities we estimate then $1/\nu$. The result from the derivative of $g_r$ is $1/\nu=0.63\pm0.01$, in complete agreement with that of the $3d$ Ising model.
%U http://arxiv.org/abs/hep-lat/9509091v1