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Updated: Jun 8, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Finite size corrections to the radiation reaction force in classical electrodynamics
Chad R Galley1, Adam K Leibovich, Ira Z Rothstein
1Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Abstract:
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 R2 rather than order R in any physical model, as widely claimed in the literature. This scaling arises as a consequence of Poincaré 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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