Skip to main content

Sphalerons in the Skyrme model

Krusch, Steffen, Sutcliffe, Paul M. (2004) Sphalerons in the Skyrme model. Journal of Physics A: Mathematical and General, 37 (38). pp. 9037-9050. ISSN 0305-4470. (doi:10.1088/0305-4470/37/38/008) (KAR id:7984)

PDF (Sphalerons in the Skyrme)
Language: English
Download (287kB) Preview
[thumbnail of Sphalerons in the Skyrme]
This file may not be suitable for users of assistive technology.
Request an accessible format
Official URL


Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge -n anti-Skyrmion (with n > 1), balanced in unstable equilibrium. The energy is slightly less than twice the energy of the axially symmetric charge n Skyrmion. A similar configuration with n = 1 does not produce a sphaleron solution, and this difference is explained by considering the interaction of asymptotic pion dipole fields. For sphaleron solutions with n > 4, the positions of the Skyrmion and anti-Skyrmion merge to form a circle, rather than isolated points, and there are some features in common with Hopf solitons of the Skyrme-Faddeev model.

Item Type: Article
DOI/Identification number: 10.1088/0305-4470/37/38/008
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Judith Broom
Date Deposited: 09 Sep 2008 15:37 UTC
Last Modified: 16 Feb 2021 12:19 UTC
Resource URI: (The current URI for this page, for reference purposes)
Krusch, Steffen:
  • Depositors only (login required):


Downloads per month over past year