Currents in the dilute $O(n=1)$ model
Mathematical Physics
2018-11-08 v2 Statistical Mechanics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In the framework of an inhomogeneous solvable lattice model, we derive exact expressions for a boundary-to-boundary current on a lattice of finite width. The model we use is the dilute loop model, related to the Izergin-Korepin spin-1 chain and the critical site percolation on the triangular lattice. Our expressions are derived based on solutions of the -Knizhnik-Zamolodchikov equations, and recursion relations.
Cite
@article{arxiv.1510.02721,
title = {Currents in the dilute $O(n=1)$ model},
author = {G. Z. Fehér and B. Nienhuis},
journal= {arXiv preprint arXiv:1510.02721},
year = {2018}
}
Comments
36 pages, 12 figures, v2: changes in main text, added figures, new appendix included