We compute the Zero Point Energy in a spherically symmetric background distorted at high energy as predicted by \textit{Gravity's Rainbow}. In this context we setup a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The eigenvalue equation is a reformulation of the Wheeler-DeWitt equation. With the help of a canonical decomposition, we find that the relevant contribution to one loop is given by the graviton quantum fluctuations around the given background. By means of a variational approach based on gaussian trial functionals, we find that the ordinary divergences can here be handled by an appropriate choice of the rainbow's functions, in contrast to what happens in other conventional approaches. A final discussion on the connection of our result with the observed cosmological constant is also reported.

(2011). Modified dispersion relations lead to a finite zero point gravitational energy [journal article - articolo]. In PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. Retrieved from http://dx.medra.org/10.1103/PhysRevD.83.084021 Retrieved from http://hdl.handle.net/10446/31951

Modified dispersion relations lead to a finite zero point gravitational energy

GARATTINI, Remo;
2011-01-01

Abstract

We compute the Zero Point Energy in a spherically symmetric background distorted at high energy as predicted by \textit{Gravity's Rainbow}. In this context we setup a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The eigenvalue equation is a reformulation of the Wheeler-DeWitt equation. With the help of a canonical decomposition, we find that the relevant contribution to one loop is given by the graviton quantum fluctuations around the given background. By means of a variational approach based on gaussian trial functionals, we find that the ordinary divergences can here be handled by an appropriate choice of the rainbow's functions, in contrast to what happens in other conventional approaches. A final discussion on the connection of our result with the observed cosmological constant is also reported.
journal article - articolo
2011
Garattini, Remo; Mandanici, Gianluca
(2011). Modified dispersion relations lead to a finite zero point gravitational energy [journal article - articolo]. In PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. Retrieved from http://dx.medra.org/10.1103/PhysRevD.83.084021 Retrieved from http://hdl.handle.net/10446/31951
File allegato/i alla scheda:
File Dimensione del file Formato  
Garattini - Modified dispersion relations.pdf

accesso aperto

Descrizione: publisher's version - versione dell'editore
Dimensione del file 329.19 kB
Formato Adobe PDF
329.19 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Aisberg ©2008 Servizi bibliotecari, Università degli studi di Bergamo | Terms of use/Condizioni di utilizzo

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/31951
Citazioni
  • Scopus 65
  • ???jsp.display-item.citation.isi??? 56
social impact