NONLINEAR RENORMALIZATION-GROUP EQUATION FOR MATRIX MODELS

被引：29

作者：

HIGUCHI, S

ITOI, C

NISHIGAKI, S

SAKAI, N

机构：

[1] NIHON UNIV,COLL SCI & TECHNOL,DEPT PHYS,CHIYODA KU,TOKYO 101,JAPAN

[2] NIHON UNIV,COLL SCI & TECHNOL,ATOM ENERGY RES INST,TOKYO 101,JAPAN

来源：

PHYSICS LETTERS B | 1993年 / 318卷 / 01期

关键词：

D O I：

10.1016/0370-2693(93)91785-L

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An exact renormalization group equation is derived for the free energy of matrix models. The renormalization group equation turns out to be nonlinear for matrix models, as opposed to vector models, where it is linear. An algorithm for determining the critical coupling constant and the critical exponent is obtained. As concrete examples, one-matrix models with one and two coupling constants are analyzed and the exact values of the critical coupling constant and the associated critical exponent are found.

引用

页码：63 / 72

页数：10

共 44 条

[41] THE DOUBLE-SCALING LIMIT OF O(N) VECTOR MODELS AND THE KP HIERARCHY [J].