Casimir Energy and the Cosmological Constant

dc.creatorGarattini, Remo
dc.date2004-09-03
dc.date.accessioned2026-07-07T06:21:30Z
dc.date.available2026-07-07T06:21:30Z
dc.descriptionWe regard the Wheeler-De Witt equation as a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The used method to study such a problem is a variational approach with Gaussian trial wave functionals. We approximate the equation to one loop in a Schwarzschild background. A zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.
dc.description9 pages, RevTeX 4, to appear in TSPU Vestnik
dc.identifierhttps://arxiv.org/abs/gr-qc/0409016
dc.identifierhttp://arxiv.org/abs/gr-qc/0409016
dc.identifierTSPU Vestnik (2004) 44N7:72
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95619
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleCasimir Energy and the Cosmological Constant
dc.typetext

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