Radiation reaction, renormalization and conservation laws in six-dimensional classical electrodynamics

Abstract

A self-action problem for a point-like charged particle arbitrarily moving in flat space-time of six dimensions is considered. A consistent regularization procedure is proposed which relies on energy-momentum and angular momentum balance equations. Structure of the angular momentum tensor carried by the retarded "Liénard-Wiechert" field testifies that a point-like source in six dimensions possesses an internal angular momentum. Its magnitude is proportional to the square of acceleration. It is the so-called {\em rigid} relativistic particle; its motion is determinated by the higher-derivative Lagrangian depending on the curvature of the world line. It is shown that action functional contains, apart from usual "bare" mass, an additional renormalization constant which corresponds to the magnitude of "bare" internal angular momentum of the particle.

18 pages, 3 figures

References in corpus (6)

• Radiation reaction in various dimensions
• Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension
• Dynamics of relativistic particle with Lagrangian dependent on acceleration
• An introduction to the Lorentz-Dirac equation
• Exact Solutions of Classical Electrodynamics and the Yang--Mills--Wong Theory in Even-Dimensional Spacetime
• On inert properties of particles in classical theory

Cited by in corpus (10)

• Radiation Beyond Four Space-Time Dimensions
• Self-interaction in classical gauge theories and gravitation
• Electromagnetic radiation in even-dimensional spacetimes
• On the Problem of Radiation Friction Beyond 4 and 6 Dimensions
• Radiation reaction in 2+1 electrodynamics
• Self force in 2+1 electrodynamics
• Radiation Reaction, Renormalization and Poincaré Symmetry
• Self-force via energy-momentum and angular momentum balance equations
• Interference in the radiation of two point-like charges
• Electrodynamics in flat spacetime of six dimensions