
SIGMA, 2005, Volume 1, 012, 10 pages
(Mi sigma12)




This article is cited in 1 scientific paper (total in 1 paper)
Radiation Reaction, Renormalization and Poincaré Symmetry
Yurij Yaremko^{} ^{} Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, 79011 Ukraine
Abstract:
We consider the selfaction problem in classical electrodynamics of a massive pointlike charge, as well as of a massless one. A consistent regularization procedure is proposed, which exploits the symmetry properties of the theory. The radiation reaction forces in both 4D and 6D are derived. It is demonstrated that the Poincaréinvariant sixdimensional electrodynamics of the massive charge is renormalizable theory. Unlike the massive case, the rates of radiated energymomentum tend to infinity whenever the source is accelerated. The external electromagnetic fields, which do not change the velocity of the particle, admit only its presence within the interaction area. The effective equation of motion is the equation for eigenvalues and eigenvectors of the electromagnetic tensor. The interference part of energymomentum radiated by two massive point charges arbitrarily moving in flat spacetime is evaluated. It is shown that the sum of work done by Lorentz forces of charges acting on one another exhausts the effect of combination of outgoing electromagnetic waves generated by the charges.
Keywords:
classical electrodynamics; pointlike charges; Poincaré invariance; conservation laws; renormalization procedure
DOI:
https://doi.org/10.3842/SIGMA.2005.012
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Bibliographic databases:
ArXiv:
mathph/0511075
Document Type:
Article
MSC: 70S10; 78A40 Received: July 8, 2005; in final form October 23, 2005; Published online November 1, 2005
Language: English
Citation:
Yurij Yaremko, “Radiation Reaction, Renormalization and Poincaré Symmetry”, SIGMA, 1 (2005), 012, 10 pp.
Citation in format AMSBIB
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\by Yurij Yaremko
\paper Radiation Reaction, Renormalization and Poincar\'e Symmetry
\jour SIGMA
\yr 2005
\vol 1
\papernumber 012
\totalpages 10
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\crossref{https://doi.org/10.3842/SIGMA.2005.012}
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This publication is cited in the following articles:

A. Yu. Morozov, “Hamiltonian formalism in the presence of higher derivatives”, Theoret. and Math. Phys., 157:2 (2008), 1542–1549

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