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

J. Engels·S. Mashkevich·T. Scheideler·G. Zinovjev
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Abstract

We determine the critical point and the ratios $β/ν$ and $γ/ν$ of critical exponents of the deconfinement transition in $SU(2)$ gauge theory by applying the $χ^2$-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 $ω=1\pm0.1$. From the derivatives of the Polyakov loop dependent quantities we estimate then $1/ν$. The result from the derivative of $g_r$ is $1/ν=0.63\pm0.01$, in complete agreement with that of the $3d$ Ising model.

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J. Engels, S. Mashkevich, T. Scheideler, G. Zinovjev. 1995-09-28. Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the $χ^2$-method. https://doi.org/10.1016/0370-2693(95)01280-x

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