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

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

2000-05-08

arxiv.org/abs/hep-th/0005064v3

Nucl.Phys. B589 (2000) 659-668

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(00)00538-1

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.

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