Abstract

I present some exact solutions of the Polyakov-Belavin-Schwartz-Tyupkin equation ${F}_{\ensuremath{\mu}\ensuremath{\nu}}={\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{F}}_{\ensuremath{\mu}\ensuremath{\nu}}$ 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.

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