The Interaction of Two Hopf Solitons
High Energy Physics - Theory
2009-10-31 v1
Abstract
This Letter deals with topological solitons in an O(3) sigma model in three space dimensions (with a Skyrme term to stabilize their size). The solitons are classified topologically by their Hopf number N. The N=2 sector is studied; in particular, for two solitons far apart, there are three ``attractive channels''. Viewing the solitons as dipole pairs enables one to predict the force between them. Relaxing in the attractive channels leads to various static 2-soliton solutions.
Keywords
Cite
@article{arxiv.hep-th/0001017,
title = {The Interaction of Two Hopf Solitons},
author = {R. S. Ward},
journal= {arXiv preprint arXiv:hep-th/0001017},
year = {2009}
}
Comments
8 pages, 3 Postscript figures, to be published in Physics Letters B