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

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 self-action problem in classical electrodynamics of a massive point-like 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 Poincaré-invariant six-dimensional electrodynamics of the massive charge is renormalizable theory. Unlike the massive case, the rates of radiated energy-momentum 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 energy-momentum 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; point-like charges; Poincaré invariance; conservation laws; renormalization procedure

DOI: https://doi.org/10.3842/SIGMA.2005.012

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Bibliographic databases:

ArXiv: math-ph/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
\Bibitem{Yar05} \by Yurij Yaremko \paper Radiation Reaction, Renormalization and Poincar\'e Symmetry \jour SIGMA \yr 2005 \vol 1 \papernumber 012 \totalpages 10 \mathnet{http://mi.mathnet.ru/sigma12} \crossref{https://doi.org/10.3842/SIGMA.2005.012} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2169835} \zmath{https://zbmath.org/?q=an:1097.78007} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000207064600012} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. A. Yu. Morozov, “Hamiltonian formalism in the presence of higher derivatives”, Theoret. and Math. Phys., 157:2 (2008), 1542–1549
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