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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Communicated by R. Stora
ENS, Paris. On leave of absence from INFN-Frascati
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Brézin, E., Itzykson, C., Parisi, G. et al. Planar diagrams. Commun.Math. Phys. 59, 35–51 (1978). https://doi.org/10.1007/BF01614153
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DOI: https://doi.org/10.1007/BF01614153