An Iterative Solution of the Three-colour Problem on a Random Lattice
Statistical Mechanics
2009-10-30 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We study the generalisation of Baxter's three-colour problem to a random lattice. Rephrasing the problem as a matrix model problem we discuss the analyticity structure and the critical behaviour of the resulting matrix model. Based on a set of loop equations we develop an algorithm which enables us to solve the three-colour problem recursively
Cite
@article{arxiv.cond-mat/9710199,
title = {An Iterative Solution of the Three-colour Problem on a Random Lattice},
author = {B. Eynard and C. Kristjansen},
journal= {arXiv preprint arXiv:cond-mat/9710199},
year = {2009}
}
Comments
14 pages, LaTeX, misprints corrected, approximation of (6.20) refined