Publication : t97/122

An Iterative Solution of the Three-colour Problem

Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kristjansen C. (The Niels Bohr Institute Blegdamsvej 17, DK-2100 Copenhagen, DENMARK)
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 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.
Année de publication : 1998
Revue : Nucl. Phys. B 516 529-542 (1998)
Preprint : arXiv:cond-mat/9710199
Numéro Exterieur : NBI-HE-97-51
Langue : Anglais

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