Abstract

The general solution for the S-matrix of an arbitrary Hamilton system with first-class boson and fermion constraints is obtained. No restrictions are imposed upon the structure functions of the involution of the constraints. The obtained unitarizing Hamiltonian contains a gamut of four-particle interactions of fermion and boson ghosts. The Fradkin-Vilkovisky theorem is generalized, and an extremely simple proof is given, based on global supersymmetry.

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