Some exact multipseudoparticle solutions of classical Yang-Mills theory

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I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation F=F for an SU(2) gauge theory in Euclidean space. My solutions describe a system with an arbitrary number of pseudoparticles, with arbitrary scale parameters and arbitrary separations, arranged along a line. The action for an n-pseudoparticle solution is precisely n times the action for a single pseudoparticle.

Original languageEnglish (US)
Pages (from-to)121-124
Number of pages4
JournalPhysical review letters
Issue number3
StatePublished - 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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