A Uniqueness theorem for constraint quantization
Oct, 1998
22 pages
Published in:
- Class.Quant.Grav. 16 (1999) 2489-2505
e-Print:
- gr-qc/9902045 [gr-qc]
Report number:
- ZU-TH-99-2,
- SU-GP-99-1-1,
- NSF-ITP-99-08
View in:
Citations per year
Abstract: (arXiv)
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.- quantization: constraint
- algebra
- group theory: Lie
- group theory: gauge
- quantization: geometrical
- functional analysis
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