Geodesic
Exact solutions of classical electrodynamics and the Yang–Mills–Wong theory in even-dimensional space–time
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 119-135
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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. 
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     author = {B. P. Kosyakov},
     title = {Exact solutions of classical electrodynamics and the {Yang{\textendash}Mills{\textendash}Wong} theory in even-dimensional space{\textendash}time},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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}
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B. P. Kosyakov. Exact solutions of classical electrodynamics and the Yang–Mills–Wong theory in even-dimensional space–time. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 1, pp. 119-135. http://geodesic.mathdoc.fr/item/TMF_1999_119_1_a9/

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