Variational principle and energymomentum tensor for relativistic electrodynamics of point charges
Abstract
We give a new representation as tempered distribution for the energymomentum tensor of a system of charged pointparticles, which is free from divergent selfinteractions, manifestly Lorentzinvariant and symmetric, and conserved. We present a covariant action for this system, that gives rise to the known LorentzDirac equations for the particles and entails, via Noether theorem, this energymomentum tensor. Our action is obtained from the standard action for classical electrodynamics, by means of a new Lorentzinvariant regularization procedure, followed by a renormalization. The method introduced here extends naturally to charged pbranes and arbitrary dimensions.
 Authors:
 Dipartimento di Fisica, Universita degli Studi di Padova (Italy) and Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova (Italy). Email: kurt.lechner@pd.infn.it
 Dipartimento di Fisica, Universita degli Studi di Padova (Italy) and Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Via F. Marzolo, 8, 35131 Padova (Italy). Email: pieralberto.marchetti@pd.infn.it
 Publication Date:
 OSTI Identifier:
 20976759
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2006.07.002; PII: S00034916(06)001369; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BRANES; COSMOLOGICAL MODELS; DIRAC EQUATION; ELECTRODYNAMICS; ENERGYMOMENTUM TENSOR; INTERACTIONS; LORENTZ INVARIANCE; MANYDIMENSIONAL CALCULATIONS; POINT CHARGE; RELATIVISTIC RANGE; RENORMALIZATION; STRING THEORY; VARIATIONAL METHODS
Citation Formats
Lechner, K., and Marchetti, P.A. Variational principle and energymomentum tensor for relativistic electrodynamics of point charges. United States: N. p., 2007.
Web. doi:10.1016/j.aop.2006.07.002.
Lechner, K., & Marchetti, P.A. Variational principle and energymomentum tensor for relativistic electrodynamics of point charges. United States. doi:10.1016/j.aop.2006.07.002.
Lechner, K., and Marchetti, P.A. Tue .
"Variational principle and energymomentum tensor for relativistic electrodynamics of point charges". United States.
doi:10.1016/j.aop.2006.07.002.
@article{osti_20976759,
title = {Variational principle and energymomentum tensor for relativistic electrodynamics of point charges},
author = {Lechner, K. and Marchetti, P.A.},
abstractNote = {We give a new representation as tempered distribution for the energymomentum tensor of a system of charged pointparticles, which is free from divergent selfinteractions, manifestly Lorentzinvariant and symmetric, and conserved. We present a covariant action for this system, that gives rise to the known LorentzDirac equations for the particles and entails, via Noether theorem, this energymomentum tensor. Our action is obtained from the standard action for classical electrodynamics, by means of a new Lorentzinvariant regularization procedure, followed by a renormalization. The method introduced here extends naturally to charged pbranes and arbitrary dimensions.},
doi = {10.1016/j.aop.2006.07.002},
journal = {Annals of Physics (New York)},
number = 5,
volume = 322,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
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