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We study the problem of the quantization of the massive charged Dirac fieldon a naked Reissner-Nordstr\"{o}m background. We show that the introduction ofan anomalous magnetic moment for the electron field allows a well--definedquantum theory for the one-particle Dirac Hamiltonian, because no boundarycondition on the singularity is required. This means that would-be higher ordercorrections can play an essential role in determining physics on the nakedReissner-Nordstr\"{o}m background and that a non-perturbative approach isrequired. Moreover, we show that bound states for the Dirac equation areallowed. Various aspects of the physical picture emerging from our study arealso discussed, such as the possibility to obtain exotic atomic systems, theformation of black holes by electronic capture and some interesting consistencyproblems involving quantum gravity.

Naked Reissner-Nordström singularities and the anomalous magnetic moment of the electron field