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Percolation and Critical Behaviour in SU(2) Gauge Theory

S. Fortunato·F. Karsch·P. Petreczky·H. Satz
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Abstract

The paramagnetic-ferromagnetic transition in the Ising model can be described as percolation of suitably defined clusters. We have tried to extend such picture to the confinement-deconfinement transition of SU(2) pure gauge theory, which is in the same universality class of the Ising model. The cluster definition is derived by approximating SU(2) by means of Ising-like effective theories. The geometrical transition of such clusters turns out to describe successfully the thermal counterpart for two different lattice regularizations of (3+1)-d SU(2).

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S. Fortunato, F. Karsch, P. Petreczky, H. Satz. 2000-10-17. Percolation and Critical Behaviour in SU(2) Gauge Theory. https://doi.org/10.1016/s0920-5632(01)00984-7

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