1999/01/01 by Domenico Giulini, Donald Marolf · 13 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1088/0264-9381/16/7/322
published as Class.Quant.Grav. 16 (1999) 2489-2505 · 23 pages, RevTeX, further comments and references added (May 26. '99)
openalex publication_date 1999/01/01 · arxiv created 1999/06/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.