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

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

2012-04-13

arxiv.org/abs/1204.3122v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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 non-zero value in odd dimensional spacetimes. The origin of the self-energy correction in odd dimensions is similar to the origin the conformal anomalies in quantum field theory in even dimensional spacetimes.

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