  We give a new representation as tempered distribution for the energy-momentum
tensor of a system of charged point-particles, which is free from divergent
self-interactions, manifestly Lorentz-invariant and symmetric, and conserved.
We present a covariant action for this system, that gives rise to the known
Lorentz-Dirac equations for the particles and entails, via Noether theorem,
this energy-momentum tensor. Our action is obtained from the standard action
for classical Electrodynamics, by means of a new Lorentz-invariant
regularization procedure, followed by a renormalization. The method introduced
here extends naturally to charged p-branes and arbitrary dimensions.
