On the Generality of Refined Algebraic Quantization

dc.creatorGiulini, Domenico
dc.creatorMarolf, Donald
dc.date1998-12-07
dc.date1999-05-31
dc.date.accessioned2026-07-07T10:31:59Z
dc.date.available2026-07-07T10:31:59Z
dc.descriptionThe 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.
dc.description12 pages, no figures, ReVTeX, some changes in presentation, some references added
dc.identifierhttps://arxiv.org/abs/gr-qc/9812024
dc.identifierhttp://arxiv.org/abs/gr-qc/9812024
dc.identifierClass.Quant.Grav.16:2479-2488,1999
dc.identifierdoi:10.1088/0264-9381/16/7/321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178604
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the Generality of Refined Algebraic Quantization
dc.typetext

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