Casimir energy, the cosmological constant and massive gravitons

dc.creatorGarattini, Remo
dc.date2005-10-13
dc.date.accessioned2026-07-07T06:46:22Z
dc.date.available2026-07-07T06:46:22Z
dc.descriptionThe cosmological constant appearing in the Wheeler-De Witt equation is considered as an eigenvalue of the associated Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a problem. We approximate the equation to one loop in a Schwarzschild background and 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. The case of massive gravitons is discussed.
dc.description19 pages. Uses pi2005.cls and pi2005.sty. Talk given at The 8-th International Conference "Path Integrals. From Quantum Information to Cosmology. Prague 6-10 June 2005. Extended version of the talk given at Talk given at "QFEXT'05", the 7-th workshop on quantum field theory under the influence of external conditions, Barcelona, Spain, Sept. 5-9, 2005 and at QG05 Constrained dynamics and quantum gravity 05, Cala Gonone (Sardinia, Italy), September 12-16, 2005
dc.identifierhttps://arxiv.org/abs/gr-qc/0510062
dc.identifierhttp://arxiv.org/abs/gr-qc/0510062
dc.identifierJ.Phys.Conf.Ser. 33 (2006) 215-220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103315
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleCasimir energy, the cosmological constant and massive gravitons
dc.typetext

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