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

Details Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the $χ^2$-method Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the $χ^2$-method

1995-09-28

arxiv.org/abs/hep-lat/9509091v1

Phys.Lett. B365 (1996) 219-224

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 3 Postscript figures, uses Plain Tex

Scientific paper

10.1016/0370-2693(95)01280-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.

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