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We show that universality arguments, namely the Svetitsky-Yaffe conjecture,allow one to obtain exact results on the critical behavior of 3D SU(2) gaugetheory at the finite temperature deconfinement transition,through a mappinginto the 2D Ising model. In particular, we consider the finite-size scalingbehavior of the plaquette operator, which can be mapped into the energyoperator of the 2D Ising model. We obtain exact predictions for the dependenceof the plaquette expectation value on the size and shape of the lattice and wecompare them to Monte Carlo results, finding complete agreement. We discuss theapplication of this method to the computation of more general correlators ofthe plaquette operator at criticality, and its relevance to the study of thecolor flux tube structure.Comment: 10 pages, LaTeX file + 3 eps figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Critical behavior of 3D<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>gauge theory at finite temperature: Exact results from universality

Critical behavior of 3DSU(2)gauge theory at finite temperature: Exact results from universality