Meanders: exact asymptotics

被引：25

作者：

Di Francesco, P ^{[1
]}

Golinelli, O ^{[1
]}

Guitter, E ^{[1
]}

机构：

[1] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France

来源：

NUCLEAR PHYSICS B | 2000年 / 570卷 / 03期

关键词：

meanders; fully packed loop models; Coulomb gas; 2D quantum gravity;

D O I：

10.1016/S0550-3213(99)00753-1

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 conjecture that meanders are governed by the gravitational version of a c = -4 two-dimensional conformal field theory, allowing for exact predictions for the meander configuration exponent alpha = root 29 (root 29 + root 5) / 12, and the semi-meander exponent <(alpha)over bar> = 1 root 11(root 29 + root 5)/24. This result follows from an interpretation of meanders as pairs of fully packed loops on a random surface, described by two c = -2 free fields. The above values agree with recent numerical estimates. We generalize these results to a score of meandric numbers with various geometries and arbitrary loop fugacities. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：699 / 712

页数：14

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