Self-Interaction and Regularization of Classical Electrodynamics in Higher Dimensions

Abstract

The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these equations can be regularized. Relations between formulae for radiation and radiation friction are discussed.

10 pages

References in corpus (3)

• Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension
• Exact Solutions of Classical Electrodynamics and the Yang--Mills--Wong Theory in Even-Dimensional Spacetime
• Renormalization of the Classical Bosonic String

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• On the triviality of higher derivative thoeries
• Self-forces on static bodies in arbitrary dimensions
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• Foundations of the self-force problem in arbitrary dimensions
• Geometric Hamiltonian Formalism for Reparametrization Invariant Theories with Higher Derivatives
• Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
• Ultraviolet singularities in classical brane theory