%0 Journal Article %T The Self-Force of a Charged Particle in Classical Electrodynamics with a Cut-off %A Josif Frenkel %A R B Santos %J Physics %D 1998 %I arXiv %R 10.1142/S0217979299000199 %X 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. %U http://arxiv.org/abs/physics/9807054v1