Percolation and Magnetization in the Continuous Spin Ising Model

Details Percolation and Magnetization in the Continuous Spin Ising Model Percolation and Magnetization in the Continuous Spin Ising Model

2000-03-20

arxiv.org/abs/hep-lat/0003014v1

Nucl.Phys. B583 (2000) 368-378

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/S0550-3213(00)00332-1

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.

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