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Fermions coupled to skyrmions on S**3

Krusch, Steffen (2003) Fermions coupled to skyrmions on S**3. Journal of Physics A: Mathematical and General, 36 (29). pp. 8141-8163. ISSN 0305-4470. (doi:10.1088/0305-4470/36/29/318) (KAR id:6067)

Abstract

This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically.

Item Type: Article
DOI/Identification number: 10.1088/0305-4470/36/29/318
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Steffen Krusch
Date Deposited: 09 Sep 2008 04:25 UTC
Last Modified: 05 Nov 2024 09:38 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/6067 (The current URI for this page, for reference purposes)

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