Planar diagrams

E. Brézin; C. Itzykson; G. Parisi; J. B. Zuber

doi:10.1007/BF01614153

Planar diagrams

E. Brézin^*
, C. Itzykson
, G. Parisi
, J. B. Zuber

^*Corresponding author for this work

CEA Saclay

Research output: Contribution to journal › Article › peer-review

1360 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	35-51
Number of pages	17
Journal	Communications in Mathematical Physics
Volume	59
Issue number	1
DOIs	https://doi.org/10.1007/BF01614153
State	Published - Feb 1978
Externally published	Yes

Access to Document

10.1007/BF01614153

Cite this

@article{9315a185213c4ef6b05801d73c7634dd,

title = "Planar diagrams",

abstract = "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.",

author = "E. Br{\'e}zin and C. Itzykson and G. Parisi and Zuber, \{J. B.\}",

year = "1978",

month = feb,

doi = "10.1007/BF01614153",

language = "英语",

volume = "59",

pages = "35--51",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Planar diagrams

AU - Brézin, E.

AU - Itzykson, C.

AU - Parisi, G.

AU - Zuber, J. B.

PY - 1978/2

Y1 - 1978/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/23044497283

U2 - 10.1007/BF01614153

DO - 10.1007/BF01614153

M3 - 文章

AN - SCOPUS:23044497283

SN - 0010-3616

VL - 59

SP - 35

EP - 51

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Planar diagrams

Abstract

Access to Document

Other files and links

Fingerprint

Cite this