Finite size corrections to the radiation reaction force in classical electrodynamics

Details Finite size corrections to the radiation reaction force in classical electrodynamics Finite size corrections to the radiation reaction force in classical electrodynamics

2010-05-14

arxiv.org/abs/1005.2617v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 2 figures

Scientific paper

We introduce an effective field theory approach that describes the motion of finite size objects under the influence of electromagnetic fields. We prove that leading order effects due to the finite radius $R$ of a spherically symmetric charge is order $R^2$ rather than order $R$ in any physical model, as widely claimed in the literature. This scaling arises as a consequence of Poincar\'e and gauge symmetries, which can be shown to exclude linear corrections. We use the formalism to calculate the leading order finite size correction to the Abraham-Lorentz-Dirac force.

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