An Iterative Solution of the Three-colour Problem on a Random Lattice

Preprint

15 December 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9710199

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

Keywords

PROBLEM RECURSIVELY
CRITICAL BEHAVIOUR
ITERATIVE SOLUTION
RANDOM LATTICE
COLOUR PROBLEM
MATRIX MODEL
ALGORITHM

All Related Versions

Version 1, 1997-10-20, ArXiv
Version 2, 1997-12-15, ArXiv
Published version: Nuclear Physics B, 516 (3), 529.

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