Extracting the Maxwell charge from the Wheeler-DeWitt equation
| dc.creator | Garattini, Remo | |
| dc.date | 2008-07-01 | |
| dc.date.accessioned | 2026-07-07T11:52:11Z | |
| dc.date.available | 2026-07-07T11:52:11Z | |
| dc.description | We consider the Wheeler-De Witt equation as a device for finding eigenvalues of a Sturm-Liouville problem. In particular, we will focus our attention on the electric (magnetic) Maxwell charge. In this context, we interpret the Maxwell charge as an eigenvalue of the Wheeler-De Witt equation generated by the gravitational field fluctuations. A variational approach with Gaussian trial wave functionals is used as a method to study the existence of such an eigenvalue. We restrict the analysis to the graviton sector of the perturbation. 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. | |
| dc.description | 6 pages. Accepted for publication in Physics Letters B | |
| dc.identifier | https://arxiv.org/abs/0807.0082 | |
| dc.identifier | http://arxiv.org/abs/0807.0082 | |
| dc.identifier | Phys.Lett.B666:189-192,2008 | |
| dc.identifier | doi:10.1016/j.physletb.2008.06.070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204146 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Extracting the Maxwell charge from the Wheeler-DeWitt equation | |
| dc.type | text |