THE LARGE-N MAGNETIZATION IN MATRIX MODELS REVISITED

被引：1

作者：

MONTALDI, E

MOLINARI, L

机构：

[1] Dipartimento di Fisica, Milano, 20133

[2] Sezione di Milano, INFN, Milano

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS | 1993年 / 15卷 / 2-3期

关键词：

D O I：

10.1007/BF02456912

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse the large-N limit of a matrix model with quartic self-interaction and external scalar field, by the technique of orthogonal polynomials. The rise of a <<spontaneous magnetization>> is studied and compared with the previous known results, based on saddle point integration or Schwinger-Dyson equations.

引用

收藏

页码：293 / 298

页数：6

相关论文

共 12 条

[1] NEW METHOD IN THE COMBINATORICS OF THE TOPOLOGICAL EXPANSION [J].

BESSIS, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 69 (02) :147-163

[2] THE ISING-MODEL ON A RANDOM PLANAR LATTICE - THE STRUCTURE OF THE PHASE-TRANSITION AND THE EXACT CRITICAL EXPONENTS [J].

BOULATOV, DV ;

KAZAKOV, VA .

PHYSICS LETTERS B, 1987, 186 (3-4) :379-384

[3] PLANAR DIAGRAMS [J].

BREZIN, E ;

ITZYKSON, C ;

PARISI, G ;

ZUBER, JB .

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

[4]

Cicuta G. M., 1986, MOD PHYS LETT, V01, P125

[5] ISING-MODELS ON FEYNMAN GRAPHS [J].

CICUTA, GM ;

MOLINARI, L ;

MONTALDI, E .

NUCLEAR PHYSICS B, 1988, 300 (02) :197-206

[6] LARGE-N SPONTANEOUS MAGNETIZATION IN ZERO DIMENSIONS [J].

CICUTA, GM ;

MOLINARI, L ;

MONTALDI, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (02) :L67-L70

[7] PLANAR DIAGRAMS, TWO-DIMENSIONAL LATTICE GRAVITY AND SURFACE MODELS [J].

DAVID, F .

NUCLEAR PHYSICS B, 1985, 257 (01) :45-58

[8]

GROSS D, 1991, PUT1257 PREPR

[9] ON THE RELATION BETWEEN MANY-COLOR QCD AND THE FREE NAMBU STRING ON THE LATTICE [J].

ILGENFRITZ, EM ;

MAKEENKO, YM ;

SHAHBAZYAN, TV .

PHYSICS LETTERS B, 1986, 172 (01) :81-85

[10] THE DOUBLE-WELL PHASE OF MATRIX MODELS - THE LARGE-N GENERAL-SOLUTION [J].

MOLINARI, L ;

MONTALDI, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (21) :4995-5001