Percolation and Magnetization in the Continuous Spin Ising Model
High Energy Physics - Lattice
2009-10-31 v1
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.
Cite
@article{arxiv.hep-lat/0003014,
title = {Percolation and Magnetization in the Continuous Spin Ising Model},
author = {Piotr Bialas and Philippe Blanchard and Santo Fortunato and Daniel Gandolfo and Helmut Satz},
journal= {arXiv preprint arXiv:hep-lat/0003014},
year = {2009}
}