We consider a multigravity approach to spacetime foam. As an application we give indications on the computation of the cosmological constant, considered as an eigenvalue of a 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 the Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.

(2007). Multigravity and spacetime foam [journal article - articolo]. In JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. Retrieved from http://hdl.handle.net/10446/21499

Multigravity and spacetime foam

GARATTINI, Remo
2007-01-01

Abstract

We consider a multigravity approach to spacetime foam. As an application we give indications on the computation of the cosmological constant, considered as an eigenvalue of a 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 the Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.
journal article - articolo
2007
Garattini, Remo
(2007). Multigravity and spacetime foam [journal article - articolo]. In JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. Retrieved from http://hdl.handle.net/10446/21499
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/21499
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