Semiclassical regime of Regge calculus and spin foams

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dc.creatorBianchi, Eugenio
dc.creatorSatz, Alejandro
dc.date2008-08-07
dc.date2008-09-24
dc.date.accessioned2026-07-07T12:15:11Z
dc.date.available2026-07-07T12:15:11Z
dc.descriptionRecent attempts to recover the graviton propagator from spin foam models involve the use of a boundary quantum state peaked on a classical geometry. The question arises whether beyond the case of a single simplex this suffices for peaking the interior geometry in a semiclassical configuration. In this paper we explore this issue in the context of quantum Regge calculus with a general triangulation. Via a stationary phase approximation, we show that the boundary state succeeds in peaking the interior in the appropriate configuration, and that boundary correlations can be computed order by order in an asymptotic expansion. Further, we show that if we replace at each simplex the exponential of the Regge action by its cosine -- as expected from the semiclassical limit of spin foam models -- then the contribution from the sign-reversed terms is suppressed in the semiclassical regime and the results match those of conventional Regge calculus.
dc.description30 pages, no figures. Updated version with minor corrections, one reference added
dc.identifierhttps://arxiv.org/abs/0808.1107
dc.identifierhttp://arxiv.org/abs/0808.1107
dc.identifierNucl.Phys.B808:546-568,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.09.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211431
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleSemiclassical regime of Regge calculus and spin foams
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