A uniqueness theorem for constraint quantization

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Abstract
This work addresses certain ambiguities in the Dirac approach to constrained systems. Specifically, we investigate the space of so-called `rigging maps' associated with refined algebraic quantization, a particular realization of the Dirac scheme. Our main result is to provide a condition under which the rigging map is unique, in which case we also show that it is given by group-averaging techniques. Our results comprise all cases where the gauge group is a finite-dimensional Lie group.

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