Faddeev-Skyrme Model and Rational Maps

Details Faddeev-Skyrme Model and Rational Maps Faddeev-Skyrme Model and Rational Maps

2001-07-23

arxiv.org/abs/hep-th/0107187v2

Chin.J.Phys.40:516-525,2002

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTex, minor typo corrected

Scientific paper

The Faddeev-Skyrme model, a modified O(3) nonlinear sigma model in three space dimensions, is known to admit topological solitons that are stabilized by the Hopf charge. The Faddeev-Skyrme model is also related to the low-energy limits of SU(2) Yang-Mills theory. Here, the model is reformulated into its gauge-equivalent expression, which turns out to be Skyrme-like. The solitonic solutions of this Skyrme-like model are analyzed by the rational map ansatz. The energy function and the Bogomolny-type lower bound of the energy are established. The generalized Faddeev-Skyrme model that originates from the infrared limits of SU(N) Yang-Mills theory is presented.

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