Instantons, Monopoles and the Flux Quantization in the Faddeev-Niemi Decomposition

Abstract

We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number $\nu$ and the charge m of the monopole that appears in the effective theory. It is given by $\nu =m\Phi /(2\pi )$, where $\Phi$ is the quantized flux associated with a U(1) gauge field passing through the loop formed by the singularity of the monopole.

Tex, 12 pages, 3 figures (eps), references added

References in corpus (1)

• Instantons and Monopoles in General Abelian Gauges

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