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 TMF, 1999, Volume 119, Number 1, Pages 119–135 (Mi tmf732)

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'

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.

DOI: https://doi.org/10.4213/tmf732

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English version:
Theoretical and Mathematical Physics, 1999, 119:1, 493–505

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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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000081250900010} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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