Skip to main content

Research Repository

Advanced Search

Broken planar Skyrmions — statics and dynamics

Jennings, Paul; Winyard, Thomas

Broken planar Skyrmions — statics and dynamics Thumbnail


Authors

Paul Jennings

Thomas Winyard



Abstract

The broken planar Skyrme model is a theory that breaks global O (3) symmetry to the dihedral group D N . It has been shown that the single soliton solution is formed of N constituent parts, named partons, that are topologically confined. The multisoliton solutions have already been computed for N = 3 and were shown to be related to polyiamonds. We extend this for larger N and demonstrate that this polyform structure continues (planar figures formed by regular N -gons joined along their edges, of which polyiamonds are the N = 3 subset). Furthermore, we numerically simulate the dynamics of this model for the first time. It will be demonstrated that the time dependent behaviour of these solutions can be broken down into the interactions of its constituent partons, with certain collisions exhibiting parton exchange. The results are then compared with those of the standard planar Skyrme model.

Citation

Jennings, P., & Winyard, T. (2014). Broken planar Skyrmions — statics and dynamics. Journal of High Energy Physics, 2014(1), https://doi.org/10.1007/jhep01%282014%29122

Journal Article Type Article
Publication Date Jan 23, 2014
Deposit Date Feb 28, 2014
Publicly Available Date Mar 13, 2014
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 1
DOI https://doi.org/10.1007/jhep01%282014%29122
Keywords Solitons Monopoles and Instantons, Global Symmetries, Sigma Models.

Files

Published Journal Article (1.7 Mb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





You might also like



Downloadable Citations