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

来源：

NUCLEAR PHYSICS B | 1996年 / 479卷 / 03期

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

页码：683 / 696

页数：14

共 26 条

[1]

Alfaro J., HEPTH9604011

[2] GENERALIZED PENNER MODELS TO ALL GENERA [J].

AMBJORN, J ;

KRISTJANSEN, CF ;

MAKEENKO, Y .

PHYSICAL REVIEW D, 1994, 50 (08) :5193-5203

[3] SQUARE GRAVITY [J].

BAILLIE, CF ;

JOHNSTON, DA .

PHYSICS LETTERS B, 1995, 357 (03) :287-294

[4] Q-COLORINGS OF THE TRIANGULAR LATTICE [J].

BAXTER, RJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (14) :2821-2839

[5]

BAXTER RJ, 1970, J MATH PHYS, V11, P784, DOI 10.1063/1.1665210

[6] PLANAR DIAGRAMS [J].

BREZIN, E ;

ITZYKSON, C ;

PARISI, G ;

ZUBER, JB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51

[7] THE PENNER MATRIX MODEL AND C = 1 STRINGS [J].

CHAUDHURI, S ;

DYKSTRA, H ;

LYKKEN, J .

MODERN PHYSICS LETTERS A, 1991, 6 (18) :1665-1677

[8] MATRIX MODELS AND GRAPH-COLORING [J].

CICUTA, GM ;

MOLINARI, L ;

MONTALDI, E .

PHYSICS LETTERS B, 1993, 306 (3-4) :245-251

[9]

DIFRANCESCO P, 1994, EUROPHYS LETT, V26, P455, DOI 10.1209/0295-5075/26/6/010

[10]

DIFRANCESCO P, HEPTH9506030

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