Abstract

A general relativistic extension of a recently proposed model of spinning particle using commuting spin variables is given. The results found earlier in an approach using anticommuting (Grassmannian) variables are reproduced and extended to the case with nonzero torsion. The quantization of the model is performed via Feynman path integral and a discretization procedure is proposed leading to a covariant second-order differential equation for the propagator which in the case with zero torsion can be reduced to general relativistic Dirac equation with δ-function source.

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