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arXiv · hep-lat/0003014

Percolation and Magnetization in the Continuous Spin Ising Model

Piotr Bialas·Philippe Blanchard·Santo Fortunato·Daniel Gandolfo·Helmut Satz
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Abstract

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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Piotr Bialas, Philippe Blanchard, Santo Fortunato, Daniel Gandolfo, Helmut Satz. 2000-03-20. Percolation and Magnetization in the Continuous Spin Ising Model. https://doi.org/10.1016/s0550-3213(00)00332-1

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