A Solvable Model for Intersecting Loops
High Energy Physics - Theory
2007-05-23 v1
Abstract
We show that some models with non-local (and non-localizable) interactions have a property, called quasi-locality, which allows for the definition of a transfer matrix. We give the Yang-Baxter equation as a sufficient condition for the existence of a family of commuting transfer matrices and solve them for a loop model with intersections. This solvable model is then analyzed in some detail and its applications to a Lorentz gas are briefly discussed.
Cite
@article{arxiv.hep-th/9301012,
title = {A Solvable Model for Intersecting Loops},
author = {Bernard Nienhuis and Ronald Rietman},
journal= {arXiv preprint arXiv:hep-th/9301012},
year = {2007}
}
Comments
9 pages LaTex, uses epsf.sty