Critical behavior of classical spin models and local cohomology
High Energy Physics - Theory
2007-05-23 v2 High Energy Physics - Lattice
Abstract
Using reflection positivity as the main tool, we establish a connection between the existence of a critical point in classical spin models and the triviality of a certain local cohomology class related to the Noether current of the model in the continuum limit. Furthermore we find a relation between the location of the critical point and the momentum space autocorrelation function of the Noether current.
Keywords
Cite
@article{arxiv.hep-th/9811061,
title = {Critical behavior of classical spin models and local cohomology},
author = {Adrian Patrascioiu and Erhard Seiler},
journal= {arXiv preprint arXiv:hep-th/9811061},
year = {2007}
}
Comments
13 pages, Talk given at the XIIth Max Born Symposioum, Wroclaw, Poland. Some misprints corrected