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TMF, 1979 Volume 40, Number 1, Pages 3–14 (Mi tmf2789)

This article is cited in 19 papers

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

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


Abstract:$1/N$ perturbation theory and a superdiagram technique are constructed in an explicitly supersymmetrie form for the supersymmetric chiral field (supersymmetric nonlinear $\sigma$ model). The absence of multiparticle production is demonstrated in the principal order in $1/N$ for the $2\leftrightarrow4$ scattering amplitude. Quantum equations of motion are derived and the first nontrivial quantum conservation laws are constructed.

Received: 05.07.1978


 English version:
Theoretical and Mathematical Physics, 1979, 40:1, 565–572

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