The length operator in Loop Quantum Gravity

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dc.creatorBianchi, Eugenio
dc.date2008-06-28
dc.date2008-09-11
dc.date.accessioned2026-07-07T11:52:06Z
dc.date.available2026-07-07T11:52:06Z
dc.descriptionThe dual picture of quantum geometry provided by a spin network state is discussed. From this perspective, we introduce a new operator in Loop Quantum Gravity - the length operator. We describe its quantum geometrical meaning and derive some of its properties. In particular we show that the operator has a discrete spectrum and is diagonalized by appropriate superpositions of spin network states. A series of eigenstates and eigenvalues is presented and an explicit check of its semiclassical properties is discussed.
dc.description33 pages, 12 figures; NPB version
dc.identifierhttps://arxiv.org/abs/0806.4710
dc.identifierhttp://arxiv.org/abs/0806.4710
dc.identifierNucl.Phys.B807:591-624,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.08.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204119
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleThe length operator in Loop Quantum Gravity
dc.typetext

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