  In the strong coupling limit the partition function of SU(2) gauge theory can
be reduced to that of the continuous spin Ising model with nearest neighbour
pair-interactions. The random cluster representation of the continuous spin
Ising model in two dimensions is derived through a Fortuin-Kasteleyn
transformation, and the properties of the corresponding cluster distribution
are analyzed. It is shown that for this model, the magnetic transition is
equivalent to the percolation transition of Fortuin-Kasteleyn clusters, using
local bond weights. These results are also illustrated by means of numerical
simulations.
