Vacuum Energy in Ultralocal metrics for TT tensors with Gaussian Wave Functionals

dc.creatorGarattini, Remo
dc.date1995-08-29
dc.date1996-04-21
dc.date.accessioned2026-07-07T08:59:31Z
dc.date.available2026-07-07T08:59:31Z
dc.descriptionWe calculate, in a class of Gauge invariant functionals, by variational methods, the difference of vacuum energy between two different backgrounds: Schwarzschild and Flat Space. We perform this evaluation in an Hamiltonian formulation of Quantum Gravity by standard ''$3+1$'' decomposition. After the decomposition the scalar curvature is expanded to second order with respect to the Schwarzschild metric. We evaluate this energy difference in momentum space, in the lowest possible state (regardless of any negative mode). We find a singular behaviour in the UV-limit, due to the presence of the horizon when $r=2m.$ When $r>2m$ this singular behaviour disappears, which is in agreement with various other models presented in the literature.
dc.descriptionRevtex 3.0, preprint, 20 pages, new references included. Some Comments on the reparametrisation invariance added in the introduction and in the conclusion
dc.identifierhttps://arxiv.org/abs/gr-qc/9508060
dc.identifierhttp://arxiv.org/abs/gr-qc/9508060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147742
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleVacuum Energy in Ultralocal metrics for TT tensors with Gaussian Wave Functionals
dc.typetext

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