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

^*此作品的通讯作者

CEA Saclay

科研成果: 期刊稿件 › 文章 › 同行评审

1362 引用（Scopus）

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.

源语言	英语
页（从-至）	35-51
页数	17
期刊	Communications in Mathematical Physics
卷	59
期	1
DOI	https://doi.org/10.1007/BF01614153
出版状态	已出版 - 2月 1978
已对外发布	是

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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.\}",

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AU - Brézin, E.

AU - Itzykson, C.

AU - Parisi, G.

AU - Zuber, J. B.

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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

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SN - 0010-3616

VL - 59

SP - 35

EP - 51

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

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Planar diagrams

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