PLANAR DIAGRAMS

被引：1296

作者：

BREZIN, E

ITZYKSON, C

PARISI, G

ZUBER, JB

机构：

[1] Service de Physique Théorique, Centre d'Études Nucléaires de Saclay, Gif-sur-Yvette

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1978年 / 59卷 / 01期

关键词：

D O I：

10.1007/BF01614153

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the planar approximation to field theory through the limit of a large internal symmetry group. This yields an alternative and powerful method to count planar diagrams. Results are presented for cubic and quartic vertices, some of which appear to be new. Quantum mechanics treated in this approximation is shown to be equivalent to a free Fermi gas system. © 1978 Springer-Verlag.

引用

页码：35 / 51

页数：17

共 6 条

[1] [Anonymous], 1967, RANDOM MATRICES
[2] QUANTUM-THEORY OF ANHARMONIC OSCILLATORS .1. ENERGY-LEVELS OF OSCILLATORS WITH POSITIVE QUARTIC ANHARMONICITY
HIOE, FT
MONTROLL, EW
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[3] SOME ASPECTS OF PLANAR PERTURBATION SERIES
KOPLIK, J
NEVEU, A
NUSSINOV, S
[J]. NUCLEAR PHYSICS B, 1977, 123 (01) : 109 - 131
[4] PLANAR DIAGRAM THEORY FOR STRONG INTERACTIONS
THOOFT, G
[J]. NUCLEAR PHYSICS B, 1974, B 72 (03) : 461 - 473
[5] A CENSUS OF PLANAR TRIANGULATIONS
TUTTE, WT
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1962, 14 (01): : 21 - &
[6] [No title captured]

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