Communications in Mathematical Physics

, Volume 59, Issue 1, pp 35–51 | Cite as

Planar diagrams

  • E. Brézin
  • C. Itzykson
  • G. Parisi
  • J. B. Zuber
Article

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.

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • E. Brézin
    • 1
  • C. Itzykson
    • 1
  • G. Parisi
    • 1
  • J. B. Zuber
    • 1
  1. 1.Service de Physique ThéoriqueCentre d'Études Nucléaires de SaclayGif-sur-YvetteFrance

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