Self-dual vortex-like configurations in SU(2) Yang-Mills Theory

Abstract

We show that there are solutions of the SU(2) Yang-Mills classical equations of motion in R4, which are self-dual and vortex-like(fluxons). The action density is concentrated along a thick two-dimensional wall (the world sheet of a straight infinite vortex line). The configurations are constructed from self-dual R2 x T2 configurations.

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