English

Percolation and Deconfinement in SU(2) Gauge Theory

High Energy Physics - Lattice 2009-10-31 v3

Abstract

The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of the Z2Z_2 symmetry of spin states or as percolation of appropriately defined spin clusters. We show that deconfinement in SU(2) gauge theory can be specified as percolation of Polyakov loop clusters with Fortuin-Kasteleyn bond weights, leading to the same critical exponents as the conventional order-disorder description based on the Polykov loop expectation value.

Keywords

Cite

@article{arxiv.hep-lat/0007012,
  title  = {Percolation and Deconfinement in SU(2) Gauge Theory},
  author = {Santo Fortunato and Helmut Satz},
  journal= {arXiv preprint arXiv:hep-lat/0007012},
  year   = {2009}
}

Comments

6 pages, 4 figures, 2 tables, tables revised