Inhomogeneous loop models with open boundaries
数学物理
2009-11-11 v2 统计力学
组合数学
math.MP
摘要
We consider the crossing and non-crossing O(1) dense loop models on a semi-infinite strip, with inhomogeneities (spectral parameters) that preserve the integrability. We compute the components of the ground state vector and obtain a closed expression for their sum, in the form of Pfaffian and determinantal formulas.
引用
@article{arxiv.math-ph/0504032,
title = {Inhomogeneous loop models with open boundaries},
author = {P. Di Francesco},
journal= {arXiv preprint arXiv:math-ph/0504032},
year = {2009}
}
备注
42 pages, 31 figures, minor corrections, references corrected