Percolation and Critical Behaviour in SU(2) Gauge Theory

Details Percolation and Critical Behaviour in SU(2) Gauge Theory Percolation and Critical Behaviour in SU(2) Gauge Theory

2000-10-17

arxiv.org/abs/hep-lat/0010026v1

Nucl.Phys.Proc.Suppl. 94 (2001) 398-401

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2000 (Finite Temperature), 4 pages, 4 figures, 2 tables

Scientific paper

10.1016/S0920-5632(01)00984-7

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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