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

Engels J, Mashkevich S, Scheideler T, Zinovjev G (1996)
PHYSICS LETTERS B 365(1-4): 219-224.

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Journal Article | Published | English

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Abstract
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 +/- 0.1. From the derivatives of the Polyakov loop dependent quantities we estimate then 1/nu. The result from the derivative of gr is 1/nu = 0.63 +/- 0.01, in complete agreement with that of the 3d Ising model.
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Engels J, Mashkevich S, Scheideler T, Zinovjev G. Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method. PHYSICS LETTERS B. 1996;365(1-4):219-224.
Engels, J., Mashkevich, S., Scheideler, T., & Zinovjev, G. (1996). Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method. PHYSICS LETTERS B, 365(1-4), 219-224. doi:10.1016/0370-2693(95)01280-X
Engels, J., Mashkevich, S., Scheideler, T., and Zinovjev, G. (1996). Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method. PHYSICS LETTERS B 365, 219-224.
Engels, J., et al., 1996. Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method. PHYSICS LETTERS B, 365(1-4), p 219-224.
J. Engels, et al., “Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method”, PHYSICS LETTERS B, vol. 365, 1996, pp. 219-224.
Engels, J., Mashkevich, S., Scheideler, T., Zinovjev, G.: Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method. PHYSICS LETTERS B. 365, 219-224 (1996).
Engels, Jürgen, Mashkevich, S, Scheideler, T, and Zinovjev, G. “Critical behaviour of SU(2) lattice gauge theory. A complete analysis with the chi(2)-method”. PHYSICS LETTERS B 365.1-4 (1996): 219-224.
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