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Self-energy of a scalar charge near higher-dimensional black holes

Valeri P. Frolov* and Andrei Zelnikov†

  • Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1

  • *vfrolov@ualberta.ca
  • †zelnikov@ualberta.ca
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Phys. Rev. D 85, 124042 – Published 20 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124042

Abstract

We study the problem of self-energy of charges in higher-dimensional static spacetimes. Application of regularization methods of quantum field theory to calculation of the classical self-energy of charges leads to model-independent results. The correction to the self-energy of a scalar charge due to the gravitational field of black holes of the higher-dimensional Majumdar-Papapetrou spacetime is calculated exactly. It proves to be zero in even dimensions, but it acquires nonzero value in odd-dimensional spacetimes. The origin of the self-energy correction in odd dimensions is similar to the origin of the conformal anomalies in quantum field theory in even-dimensional spacetimes.

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Phys. Rev. D 85, 124042– Published 20 June, 2012
  • Received 13 April 2012

© 2012 American Physical Society

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