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

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 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.

9 pages

References in corpus (3)

• Self-force on a scalar particle in a class of wormhole spacetimes
• DeWitt-Schwinger Renormalization and Vacuum Polarization in d Dimensions
• Scalar and electromagnetic fields of static sources in higher dimensional Majumdar-Papapetrou spacetimes

Cited by in corpus (9)

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• Anomaly and the self-energy of electric charges
• Charged particles in higher dimensional homogeneous gravitational field: Self-energy and self-force
• Self-force from conical singularity, without renormalization
• Self-force on a static particle near a black hole
• Self-force as a probe of global structure
• Scalar self-force on static charge in a long throat
• Self-action in Gravity
• Bi-conformal symmetry and static Green functions in the Schwarzschild-Tangherlini spacetimes