A lattice worldsheet sum for 4-d Euclidean general relativity

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dc.creatorReisenberger, Michael P.
dc.date1997-11-17
dc.date.accessioned2026-07-07T03:31:59Z
dc.date.available2026-07-07T03:31:59Z
dc.descriptionA lattice model for four dimensional Euclidean quantum general relativity is proposed for a simplicial spacetime. It is shown how this model can be expressed in terms of a sum over worldsheets of spin networks, and an interpretation of these worldsheets as spacetime geometries is given, based on the geometry defined by spin networks in canonical loop quantized GR. The spacetime geometry has a Planck scale discreteness which arises "naturally" from the discrete spectrum of spins of SU(2) representations (and not from the use of a spacetime lattice). The lattice model of the dynamics is a formal quantization of the classical lattice model of \cite{Rei97a}, which reproduces, in a continuum limit, Euclidean general relativity.
dc.description50 pages latex. 8 postscript figures. Uses psfig.sty
dc.identifierhttps://arxiv.org/abs/gr-qc/9711052
dc.identifierhttp://arxiv.org/abs/gr-qc/9711052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36065
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA lattice worldsheet sum for 4-d Euclidean general relativity
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