Percolation and Deconfinement in SU(2) Gauge Theory

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 $Z_2$ 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.

6 pages, 4 figures, 2 tables, tables revised

Cited by in corpus (11)

• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model
• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• Crossover transition in bag-like models
• Coherent center domains from local Polyakov loops
• Center clusters in the Yang-Mills vacuum
• Finite temperature SU(2) gauge theory: critical coupling and universality class
• Vortex critical behavior at the de-confinement phase transition
• No coincidence of center percolation and deconfinement in SU(4) lattice gauge theory
• Dynamical formation of center domains in quark-gluon plasma
• Two Geometric Approaches To Study The Deconfinement Phase Transition in (3+1)-Dimensional $Z_2$ Gauge Theories