Coloring random triangulations

被引：16
|
作者：
Di Francesco, P [1 ]
Eynard, B
Guitter, E
机构：
[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
[2] Univ Durham, Dept Math Sci, Sci Labs, Durham DH1 3HP, England
[3] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France
来源：
NUCLEAR PHYSICS B | 1998年 / 516卷 / 03期
基金：
美国国家科学基金会;
关键词：
coloring; folding; random lattice; 2D quantum gravity;
D O I：
10.1016/S0550-3213(98)00037-6
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 introduce and solve a two-matrix model for the tri-coloring problem of the vertices of a random triangulation. We present three different solutions: (i) by orthogonal polynomial techniques, (ii) by use of a discrete Hirota bilinear equation, (iii) by direct expansion. The model is found to lie in the universality class of pure two-dimensional quantum gravity, despite the non-polynomiality of its potential. (C) 1998 Elsevier Science B.V.
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页码：543 / 587
页数：45
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