COMPLEX RANDOM SURFACES

被引：49

作者：

ANDERSON, A

MYERS, RC

PERIWAL, V

机构：

[1] MCGILL UNIV, DEPT PHYS, MONTREAL H3A 2T8, QUEBEC, CANADA

[2] UNIV CALIF SANTA BARBARA, INST THEORET PHYS, SANTA BARBARA, CA 93106 USA

来源：

PHYSICS LETTERS B | 1991年 / 254卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会; 美国国家航空航天局;

关键词：

D O I：

10.1016/0370-2693(91)90401-B

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Several infinite sets of models of random surfaces, defined by means of integrals over matrix ensembles, are solved in a double-scaling limit. These models are exactly soluble in at least two distinct large N limits. The triangulated surfaces are complicated due to the existence of two distinct kinds of vertices in the triangulations. In one limit, the matrices possess a finite and fixed number of degrees of freedom as N becomes large - nevertheless, these models possess a nontrivial double-scaling limit. A special case of the other limit is known to describe two-dimensional quantum gravity.

引用

页码：89 / 93

页数：5

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