AN ITERATIVE SOLUTION OF THE 3-COLOR PROBLEM ON A RANDOM LATTICE

Authors
EYNARD B KRISTJANSEN C
Citation
B. Eynard et C. Kristjansen, AN ITERATIVE SOLUTION OF THE 3-COLOR PROBLEM ON A RANDOM LATTICE, Nuclear physics. B, 516(3), 1998, pp. 529-542
Citations number
21
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
516
Issue
3
Year of publication
1998
Pages
529 - 542
Database
ISI
SICI code
0550-3213(1998)516:3<529:AISOT3>2.0.ZU;2-1
Abstract
We study the generalisation of Baxter's three-colour problem to a rand om lattice. Rephrasing the problem as a matrix model problem we discus s the analyticity structure and critical behaviour of the resulting ma trix model. Based on a set of loop equations we develop an algorithm w hich enables us to solve the three-colour problem recursively. (C) 199 8 Elsevier Science B.V.