Abstract:
A $1/N$ 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.