On the constraint algebra of quantum gravity in the loop representation

dc.creatorBruegmann, Bernd
dc.date1995-12-20
dc.date.accessioned2026-07-07T12:01:23Z
dc.date.available2026-07-07T12:01:23Z
dc.descriptionAlthough an important issue in canonical quantization, the problem of representing the constraint algebra in the loop representation of quantum gravity has received little attention. The only explicit computation was performed by Gambini, Garat and Pullin for a formal point-splitting regularization of the diffeomorphism and Hamiltonian constraints. It is shown that the calculation of the algebra simplifies considerably when the constraints are expressed not in terms of generic area derivatives but rather as the specific shift operators that reflect the geometric meaning of the constraints.
dc.description17 pages, LaTeX, 2 figures included with epsf
dc.identifierhttps://arxiv.org/abs/gr-qc/9512036
dc.identifierhttp://arxiv.org/abs/gr-qc/9512036
dc.identifierNucl.Phys.B474:249-268,1996
dc.identifierdoi:10.1016/0550-3213(96)00241-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207080
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the constraint algebra of quantum gravity in the loop representation
dc.typetext

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