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A uniqueness theorem for constraint quantization
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DOI：10.1088/0264-9381/16/7/322.png)
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Abstract
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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:
RELATIVISTIC QUANTUM-MECHANICS
GAUGE SYSTEMS
REDUCTION
DYNAMICS
GRAVITY
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3.7
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