An iterative solution of the three-colour problem on a random lattice

被引:20
作者
Eynard, B
Kristjansen, C
机构
[1] Univ Durham, Dept Math Sci, Sci Labs, Durham DH1 3LE, England
[2] Niels Bohr Inst, DK-2100 Copenhagen 0, Denmark
[3] Serv Phys Theor Saclay, F-91191 Gif Sur Yvette, France
关键词
three-colour problem; O(n) model; random lattices; 2D quantum gravity;
D O I
10.1016/S0550-3213(98)00042-X
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:529 / 542
页数:14
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