A Uniqueness Theorem for Constraint Quantization

Preprint

14 June 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9902045

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.

Keywords

CONSTRAINT QUANTIZATION
AVERAGING TECHNIQUES
UNIQUENESS THEOREM
GROUP IS A FINITE
WORK ADDRESSES
DIRAC APPROACH
QUANTIZATION
RIGGING MAPS
ALGEBRAIC

All Related Versions

Version 1, 1999-02-15, ArXiv
Version 2, 1999-06-14, ArXiv
Published version: Classical and Quantum Gravity, 16 (7), 2489.

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