English

Skyrme model on S_3 and Harmonic maps

High Energy Physics - Theory 2009-10-31 v1

Abstract

A non-linear sigma model mimicking the Skyrme model on S_3 is proposed and a family of classical solutions to the equations are constructed numerically. The solutions terminate into catastrophe-like spikes at critical values of the Skyrme coupling constant and, when this constant is zero, they coincide with the series of Harmonic maps on S_3 constructed some years ago by P. Bizon.

Keywords

Cite

@article{arxiv.hep-th/9810175,
  title  = {Skyrme model on S_3 and Harmonic maps},
  author = {Yves Brihaye and Claude Gabriel},
  journal= {arXiv preprint arXiv:hep-th/9810175},
  year   = {2009}
}

Comments

LaTeX, 9 pages, 4 figures

R2 v1 2026-07-22T16:12:45.206Z