1998/12/31 by Domenico Giulini, Donald Marolf · 2 citations
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/0264-9381/16/7/321
published as Class.Quant.Grav.16:2479-2488,1999 · 12 pages, no figures, ReVTeX, some changes in presentation, some references added
arxiv created 1999/05/31 · arxiv updated 2009/11/30
The Dirac quantization `procedure' for constrained systems is well known to have many subtleties and ambiguities. Within this ill-defined framework, we explore the generality of a particular interpretation of the Dirac procedure known as refined algebraic quantization. We find technical conditions under which refined algebraic quantization can reproduce the general implementation of the Dirac scheme for systems whose constraints form a Lie algebra with structure constants. The main result is that, under appropriate conditions, the choice of an inner product on the physical states is equivalent to the choice of a ``rigging map'' in refined algebraic quantization.