Field theory of Ising percolating clusters

Details Field theory of Ising percolating clusters Field theory of Ising percolating clusters

2009-02-19

arxiv.org/abs/0902.3339v1

Nucl.Phys.B818:196-211,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 8 figures

Scientific paper

10.1016/j.nuclphysb.2009.04.002

The clusters of up spins of a two-dimensional Ising ferromagnet undergo a second order percolative transition at temperatures above the Curie point. We show that in the scaling limit the percolation threshold is described by an integrable field theory and identify the non-perturbative mechanism which allows the percolative transition in absence of thermodynamic singularities. The analysis is extended to the Kertesz line along which the Coniglio-Klein droplets percolate in a positive magnetic field.

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