Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory

Details Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory

2003-09-19

arxiv.org/abs/nucl-th/0309051v5

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure, PLB in press

Scientific paper

10.1016/j.physletb.2004.09.077

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 $z$-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 $m$ times and the second one winding the first $n$ times, whose linking number $mn$ 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.

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