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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 1, Pages 119–135
DOI: https://doi.org/10.4213/tmf732
(Mi tmf732)
 

This article is cited in 49 scientific papers (total in 49 papers)

Exact solutions of classical electrodynamics and the Yang–Mills–Wong theory in even-dimensional space–time

B. P. Kosyakov

Federal State Unitary Enterprise 'Russian Federal Nuclear Center — All-Russian Research Institute of Experimental Physics'
References:
Abstract: Exact solutions of classical gauge theories in even-dimensional ($D=2n$) space–time are discussed. Common and specific properties of these solutions are analyzed for the particular dimensions $D=2$, $D=4$, and $D=6$. The consistent formulation of classical gauge field theories with pointlike charged or colored particles is proposed for $D=6$. The particle Lagrangian must then depend on the acceleration. In $D=2$, radiation is absent and all processes are invertible w.r.t. time. In $D=6$, the expression for the radiation intensity, as well as the equation of motion of a self-interacting particle, is obtained; trembling always leads to radiation. Non-Abelian solutions are absent for any $D\ne4$, and only Coulomb-like solutions, which correspond to the Abelian limit of the $D$-dimensional Yang–Mills–Wong theory, are admitted.
Received: 28.08.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 1, Pages 493–505
DOI: https://doi.org/10.1007/BF02557347
Bibliographic databases:
Language: Russian
Citation: B. P. Kosyakov, “Exact solutions of classical electrodynamics and the Yang–Mills–Wong theory in even-dimensional space–time”, TMF, 119:1 (1999), 119–135; Theoret. and Math. Phys., 119:1 (1999), 493–505
Citation in format AMSBIB
\Bibitem{Kos99}
\by B.~P.~Kosyakov
\paper Exact solutions of classical electrodynamics and the Yang--Mills--Wong theory in even-dimensional space--time
\jour TMF
\yr 1999
\vol 119
\issue 1
\pages 119--135
\mathnet{http://mi.mathnet.ru/tmf732}
\crossref{https://doi.org/10.4213/tmf732}
\zmath{https://zbmath.org/?q=an:0951.81019}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 119
\issue 1
\pages 493--505
\crossref{https://doi.org/10.1007/BF02557347}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000081250900010}
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  • https://www.mathnet.ru/eng/tmf732
  • https://doi.org/10.4213/tmf732
  • https://www.mathnet.ru/eng/tmf/v119/i1/p119
  • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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