Self force in 2+1 electrodynamics
arXiv:0907.3029 · doi:10.1088/1751-8113/40/43/022
Abstract
The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed, which exploits the Poincaré invariance of the theory. Effective equation of motion of radiating charge in an external electromagnetic field is obtained via the consideration of energy-momentum and angular momentum conservation. This equation includes the effect of the particle's own field. The radiation reaction is determined by the Lorentz force of point-like charge acting upon itself plus a non-local term which provides finiteness of the self-action.
20 pages, 3 figures
References in corpus (12)
- Gravitational Radiation Reaction to a Particle Motion
- The motion of point particles in curved spacetime
- Self-force via a Green's function decomposition
- 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
- On inert properties of particles in classical theory
- Instability of scalar charges in 1+1D and 2+1D
- Radiation reaction in 2+1 electrodynamics