Self force in 2+1 electrodynamics

Details Self force in 2+1 electrodynamics Self force in 2+1 electrodynamics

2009-07-17

arxiv.org/abs/0907.3029v1

J.Phys.A: Math. Theor. 40 (2007), 13161-13178

Physics

Classical Physics

20 pages, 3 figures

Scientific paper

10.1088/1751-8113/40/43/022

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 Poincar\'e 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.

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