Hopf Solitons on S^3 and R^3
High Energy Physics - Theory
2009-10-31 v1
Abstract
The Skyrme-Faddeev system, a modified O(3) sigma model in three space dimensions, admits topological solitons with nonzero Hopf number. One may learn something about these solitons by considering the system on the 3-sphere of radius R. In particular, the Hopf map is a solution which is unstable for R > \sqrt{2}.
Cite
@article{arxiv.hep-th/9811176,
title = {Hopf Solitons on S^3 and R^3},
author = {R S Ward},
journal= {arXiv preprint arXiv:hep-th/9811176},
year = {2009}
}
Comments
9 pages, plainTeX, to appear in Nonlinearity