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Solutions to the Yang‐Mills Equations

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Abstract

It was shown in Chap. 4 that two solutions to Maxwell's equations, the Coulomb field and plane wave, play a key role in electrodynamics. By contrast, the situation in the Yang‐Mills theory falls short of this ideal. Although a considerable body of solutions to the Yang‐Mills equations exists in the literature, their physical implications are yet to be completely determined. In this chapter we review some field configurations in gauge theories and discuss their properties with an emphasis on their application in the physics of the strong interactions. Our prime interest is with solutions to the Yang‐Mills‐Wong theory, which seem to be well understood but have not been adequately addressed in the literature.

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Kosyakov, B.P. (2007). Solutions to the Yang‐Mills Equations. In: Introduction to the Classical Theory of Particles and Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40934-2_8

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