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TMF, 1980 Volume 42, Number 3, Pages 306–314 (Mi tmf2534)

This article is cited in 4 papers

$1/N$ perturbation theory and quantum conservation laws for the supersymmetric chiral field. II

I. Ya. Aref'eva, V. K. Krivoshchekov, P. B. Medvedev


Abstract: 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.

Received: 28.12.1978


 English version:
Theoretical and Mathematical Physics, 1980, 42:2, 201–207

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