Hermitian matrix model with plaquette interaction

被引:24
作者
Chekhov, L [1 ]
Kristjansen, C [1 ]
机构
[1] NORDITA,DK-2100 COPENHAGEN O,DENMARK
关键词
matrix models; random surfaces; O(n) model; three-colour problem;
D O I
10.1016/0550-3213(96)00382-3
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 a hermitian (n + 1)-matrix model with plaquette interaction, Sigma(i=1)(n) MA(i)MA(i). By means of a conformal transformation we rewrite the model as an O(rt) model on a random lattice with a non-polynomial potential. This allows us to solve the model exactly, We investigate the critical properties of the plaquette model and find that for n is an element of ] - 2, 2] the model belongs to the same universality class as the O(n) model on a random lattice.
引用
收藏
页码:683 / 696
页数:14
相关论文
共 26 条
[21]   O(N) VECTOR MODEL ON A PLANAR RANDOM LATTICE - SPECTRUM OF ANOMALOUS DIMENSIONS [J].
KOSTOV, IK .
MODERN PHYSICS LETTERS A, 1989, 4 (03) :217-226
[22]   MULTICRITICAL PHASES OF THE O(N) MODEL ON A RANDOM LATTICE [J].
KOSTOV, IK ;
STAUDACHER, M .
NUCLEAR PHYSICS B, 1992, 384 (03) :459-483
[23]  
MAKEENKO Y, HEPTH9601139
[24]  
PENNER RC, 1988, J DIFFER GEOM, V27, P35
[25]   GENERALIZED PENNER MODELS AND MULTICRITICAL BEHAVIOR [J].
TAN, CI .
PHYSICAL REVIEW D, 1992, 45 (08) :2862-2871
[26]   PATHOLOGICAL LATTICE FIELD-THEORY FOR INTERACTING STRINGS [J].
WEINGARTEN, D .
PHYSICS LETTERS B, 1980, 90 (03) :280-284