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Hyperbolic Skyrmions

Winyard, Thomas (2015) Hyperbolic Skyrmions. Cornell University. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:90657)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
https://arxiv.org/abs/1503.08522v1

Abstract

We investigate SU(2) Skyrmions in hyperbolic space, by computing numerical solutions of the nonlinear field equation. We first demonstrate the link between increasing curvature and the accuracy of the rational map approximation to the minimal energy static solutions. We investigate the link between Skyrmions with massive pions in Euclidean space and the massless case in hyperbolic space, by relating curvature to the pion mass. Crystal chunks are found to be the minimal energy solution for increased curvature as well as increased mass of the model. The dynamics of the hyperbolic model are also simulated, with the similarities and differences to the Euclidean model noted.

Item Type: Other
Subjects: Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Amy Boaler
Date Deposited: 06 Oct 2021 11:29 UTC
Last Modified: 06 Oct 2021 11:29 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/90657 (The current URI for this page, for reference purposes)
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