The Self-Force of a Charged Particle in Classical Electrodynamics with a Cut-off

Abstract

We discuss, in the context of classical electrodynamics with a Lorentz invariant cut-off at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the equation of motion in a form consistent with special relativity. We find that the exact equation of motion does not exhibit runaway solutions or non-causal behavior, when the cut-off is larger than half of the classical radius of the electron.

17 pages, 1 figure

References in corpus (1)

• Run-away solutions in relativistic spin 1/2 quantum electrodynamics

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