2000/11/22 by Adrian Patrascioiu, Erhard Seiler
Physics and Astronomy · #hep-th #hep-lat
published as J.Statist.Phys. 106 (2002) 811-826 · 16 pages, 7 figures
arxiv created 2000/11/22 · arxiv updated 2009/11/30
We present the results of a numerical investigation of percolation properties in a version of the classical Heisenberg model. In particular we study the percolation properties of the subsets of the lattice corresponding to equatorial strips of the target manifold \cal S2. As shown by us several years ago, this is relevant for the existence of a massless phase of the model. Our investigation yields strong evidence that such a massless phase does indeed exist. It is further shown that this result implies lack of asymptotic freedom in the massive continuum limit. A heuristic estimate of the transition temperature is given which is consistent with the numerical data.