Radiation reaction in 2+1 electrodynamics

Abstract

A self-action problem for a pointlike charged particle arbitrarily moving in flat spacetime of three dimensions is considered. Outgoing waves carry energy-momentum and angular momentum; the radiation removes energy and angular momentum from the source which then undergoes a radiation reaction. We decompose Noether quantities carried by electromagnetic field into bound and radiative components. The bound terms are absorbed by individual particle's characteristics within the renormalization procedure. Radiative terms together with already renormalized 3-momentum and angular momentum of pointlike charge constitute the total conserved quantities of our particle plus field system. Their differential consequences yield the effective equation of motion of radiating charge in an external electromagnetic field. In this integrodifferential equation the radiation reaction is determined by Lorentz force of pointlike charge acting upon itself plus nonlocal term which provides finiteness of the self-action.

46 pages, 6 figures

References in corpus (10)

• Gravitational Radiation Reaction to a Particle Motion
• Self-force via a Green's function decomposition
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Radiation reaction in various dimensions
• Radiation reaction and renormalization in classical electrodynamics of point particle in any dimension
• Energy conservation for point particles undergoing radiation reaction
• An introduction to the Lorentz-Dirac equation
• Exact Solutions of Classical Electrodynamics and the Yang--Mills--Wong Theory in Even-Dimensional Spacetime
• Radiation reaction, renormalization and conservation laws in six-dimensional classical electrodynamics
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Cited by in corpus (7)

• Foundations of the self-force problem in arbitrary dimensions
• Synchrotron radiation in odd dimensions
• Self-forces in arbitrary dimensions
• Leakage of gravitational waves into an extra dimension in the DGP model
• Gravitational radiation from a binary system in odd-dimensional spacetime
• Self force in 2+1 electrodynamics
• Self-force via energy-momentum and angular momentum balance equations