Noncommutative Geometry and The Ising Model
High Energy Physics - Theory
2009-10-22 v1
Abstract
The main aim of this work is to present the interpretation of the Ising type models as a kind of field theory in the framework of noncommutative geometry. We present the method and construct sample models of field theory on discrete spaces using the introduced tools of discrete geometry. We write the action for few models, then we compare them with various models of statistical physics. We construct also the gauge theory with a discrete gauge group.
Cite
@article{arxiv.hep-th/9212001,
title = {Noncommutative Geometry and The Ising Model},
author = {Andrzej Sitarz},
journal= {arXiv preprint arXiv:hep-th/9212001},
year = {2009}
}
Comments
12 pages, LaTeX, TPJU - 18/92, December 1992