Skyrme model on S_3 and Harmonic maps

Details Skyrme model on S_3 and Harmonic maps Skyrme model on S_3 and Harmonic maps

1998-10-22

arxiv.org/abs/hep-th/9810175v1

Mod.Phys.Lett. A14 (1999) 893-902

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 9 pages, 4 figures

Scientific paper

10.1142/S021773239900095X

A non-linear sigma model mimicking the Skyrme model on S_3 is proposed and a
family of classical solutions to the equations are constructed numerically. The
solutions terminate into catastrophe-like spikes at critical values of the
Skyrme coupling constant and, when this constant is zero, they coincide with
the series of Harmonic maps on S_3 constructed some years ago by P. Bizon.

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