A Uniqueness Theorem for Constraint Quantization

Details A Uniqueness Theorem for Constraint Quantization A Uniqueness Theorem for Constraint Quantization

1999-02-15

arxiv.org/abs/gr-qc/9902045v2

Class.Quant.Grav. 16 (1999) 2489-2505

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, RevTeX, further comments and references added (May 26. '99)

Scientific paper

10.1088/0264-9381/16/7/322

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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