Faddeev-Skyrme Model and Rational Maps
高能物理 - 理论
2011-08-17 v2
摘要
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.
引用
@article{arxiv.hep-th/0107187,
title = {Faddeev-Skyrme Model and Rational Maps},
author = {Wang-Chang Su},
journal= {arXiv preprint arXiv:hep-th/0107187},
year = {2011}
}
备注
12 pages, LaTex, minor typo corrected