Variational principle and energy-momentum tensor for relativistic Electrodynamics of point charges

Details Variational principle and energy-momentum tensor for relativistic Electrodynamics of point charges Variational principle and energy-momentum tensor for relativistic Electrodynamics of point charges

2006-02-22

arxiv.org/abs/hep-th/0602224v2

AnnalsPhys.322:1162-1190,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, no figures, refs. and comments added

Scientific paper

10.1016/j.aop.2006.07.002

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.

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