Geodesic
$1/N$ expansion for scalar fields
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 3-23 
I. Ya. Aref'eva. $1/N$ expansion for scalar fields. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 3-23. http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a0/
@article{ZNSL_1978_77_a0,
     author = {I. Ya. Aref'eva},
     title = {$1/N$ expansion for scalar fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--23},
     year = {1978},
     volume = {77},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a0/}
}
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Models of scalar field theories with a large number $N$ of isotopic degrees of freedom are considered. A theory of perturbations with respect to a small parameter is developed in the formalism of path integration for a space-time dimension $D=2,3,4$.The particle spectrum obtained in basic order with respect to $N^{-1}$ is compared with the spectrum in the path approach. It is shown that when $D=4$ the chiral field model is turned, as a result of renormalization, into a model with four interactions. The limitations of the applicability of the $1/N$ expansion are discussed.