Geodesic
$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 306-314 
I. Ya. Aref'eva; V. K. Krivoshchekov; P. B. Medvedev. $1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 3, pp. 306-314. http://geodesic.mathdoc.fr/item/TMF_1980_42_3_a1/
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     title = {$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. {II}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the $1/N$ perturbation theory constructed in the part I of this work, the supersymmetrical model of chiral field (the supersymmetrical nonlinear $\sigma$-model) is proved to be renormalizable. Essential role in the proof is played by the supersymmetrical quantum chirality condition. Quantum equations of motion in supersymmetrical form are derived and first nontrivial quantum conservation laws are constructed.

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