Loop Model with Generalized Fugacity in Three Dimensions
Statistical Mechanics
2008-11-26 v4 Soft Condensed Matter
High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
A statistical model of loops on the three-dimensional lattice is proposed and is investigated. It is O(n)-type but has loop fugacity that depends on global three-dimensional shapes of loops in a particular fashion. It is shown that, despite this non-locality and the dimensionality, a layer-to-layer transfer matrix can be constructed as a product of local vertex weights for infinitely many points in the parameter space. Using this transfer matrix, the site entropy is estimated numerically in the fully packed limit.
Cite
@article{arxiv.cond-mat/9907335,
title = {Loop Model with Generalized Fugacity in Three Dimensions},
author = {Saburo Higuchi},
journal= {arXiv preprint arXiv:cond-mat/9907335},
year = {2008}
}
Comments
16pages, 4 eps figures, (v2) typos and Table 3 corrected. Refs added, (v3) an error in an explanation of fig.2 corrected. Refs added. (v4) Changes in the presentation