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

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

1997-10-20

arxiv.org/abs/cond-mat/9710199v2

Nucl.Phys. B516 (1998) 529-542

Physics

Condensed Matter

Statistical Mechanics

14 pages, LaTeX, misprints corrected, approximation of (6.20) refined

Scientific paper

10.1016/S0550-3213(98)00042-X

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

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