Random Cluster Model, Percolation and Deconfinement Transition in Quark Gluon Plasma

We report on results concerning the partition function of SU(2) gauge theory in the strong coupling limit, which we analyze as a continuous spin model through a Fortuin-Kasteleyn transformation. The properties of the corresponding cluster distribution are investigated to show that the thermal and geometrical phase transitions indeed coincide supporting the belief that deconfinement in QCD can be characterized as percolation of Polyakov loop clusters.