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A proposal for a generalized canonical osp(1,2) quantization of dynamical systems with constraints

Petr M. Lavrov·Jorge Ananias Neto·Wilson Oliveira
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Abstract

The aim of this paper is to consider a possibility of constructing for arbitrary dynamical systems with first-class constraints a generalized canonical quantization method based on the osp(1,2) supersymmetry principle. This proposal can be considered as a counterpart to the osp(1,2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and Mülsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m^2 of the osp(1,2) superalgebra is not equal to zero then the vacuum functional and S-matrix depend on the gauge. In the limit $m\to 0$ the gauge independence of vacuum functional and S - matrix are restored. The Ward identities related to the osp(1,2) symmetry are derived.

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Petr M. Lavrov, Jorge Ananias Neto, Wilson Oliveira. 1999-03-15. A proposal for a generalized canonical osp(1,2) quantization of dynamical systems with constraints. https://doi.org/10.1142/s0217732399000626

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