Percolation and Critical Behaviour in SU(2) Gauge Theory
arXiv:hep-lat/0010026 · doi:10.1016/S0920-5632(01)00984-7
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).
Lattice 2000 (Finite Temperature), 4 pages, 4 figures, 2 tables