English

Chains of Skyrmions

High Energy Physics - Theory 2009-01-16 v1

Abstract

Skyrme chains are topologically-nontrivial solutions of the Skyrme model which are (quasi-)periodic in one spatial direction. We report numerical and analytic investigations which show that such solutions exist. Chains of 1-skyrmions are reasonably well approximated both as parallel vortex-antivortex pairs, and in terms of the holonomy of Yang-Mills calorons. As the period increases, the 1-skyrmions clump together, for example giving chains of 2-skyrmions or 4-skyrmions.

Keywords

Cite

@article{arxiv.0807.3870,
  title  = {Chains of Skyrmions},
  author = {Derek Harland and R. S. Ward},
  journal= {arXiv preprint arXiv:0807.3870},
  year   = {2009}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-21T11:03:54.378Z