Naked Reissner-Nordström Singularities and the Anomalous Magnetic Moment of the Electron Field

Abstract

We study the problem of the quantization of the massive charged Dirac field on a naked Reissner-Nordström background. We show that the introduction of an anomalous magnetic moment for the electron field allows a well--defined quantum theory for the one-particle Dirac Hamiltonian, because no boundary condition on the singularity is required. This means that would-be higher order corrections can play an essential role in determining physics on the naked Reissner-Nordström background and that a non-perturbative approach is required. Moreover, we show that bound states for the Dirac equation are allowed. Various aspects of the physical picture emerging from our study are also discussed, such as the possibility to obtain exotic atomic systems, the formation of black holes by electronic capture and some interesting consistency problems involving quantum gravity.

22 pages, 2 figures, uses RevTex. Essentially the same paper as the one published in Phys. Rev. D62, (2000) 084014, which can be found at http://prd.aps.org/

References in corpus (2)

• Quantum Probes of Spacetime Singularities
• Quantum properties of the electron field in Kerr-Newman black hole manifolds

Cited by in corpus (6)

• Motion of charged test particles in Reissner--Nordström spacetime
• On the bound states of the Dirac equation in the extreme Kerr metric
• On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
• On the Dirac operator for a test electron in a Reissner--Weyl--Nordström black hole spacetime
• On general-relativistic hydrogen and hydrogenic ions
• On the discrete Dirac spectrum of general-relativistic hydrogenic ions with anomalous magnetic moment