Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory
arXiv:nucl-th/0309051 · doi:10.1016/j.physletb.2004.09.077
Abstract
We identify the Faddeev-Niemi knot in Skyrme theory as a vortex ring made of a helical baby skyrmion (a twisted chromomagnetic vortex which is periodic in -coodinate) with the periodic ends connected together. This allows us to interpret the knot as two quantized magnetic flux rings linked together, the first one winding the second times and the second one winding the first times, whose linking number is fixed by the Chern-Simon index of the magnetic potential. This interpretation strongly suggests that the Skyrme theory could also describe a very interesting low energy physics in a completely different environment, which puts the theory in a totally new perspective.
arXiv comment4 pages, 1 figure, PLB in press
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