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Planar diagrams
Authors:E Brézin  C Itzykson  G Parisi  J B Zuber
Institution:(1) Service de Physique Théorique, Centre d'Études Nucléaires de Saclay, F-91190 Gif-sur-Yvette, France
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.ENS, Paris. On leave of absence from INFN-Frascati
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