Percolation and the existence of a soft phase in the classical Heisenberg model
| dc.creator | Patrascioiu, Adrian | |
| dc.creator | Seiler, Erhard | |
| dc.date | 2000-11-22 | |
| dc.date.accessioned | 2026-07-07T04:10:57Z | |
| dc.date.available | 2026-07-07T04:10:57Z | |
| dc.description | 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 ${\cal S}^2$. 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. | |
| dc.description | 16 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0011199 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0011199 | |
| dc.identifier | J.Statist.Phys. 106 (2002) 811-826 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50397 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Percolation and the existence of a soft phase in the classical Heisenberg model | |
| dc.type | text |