Cork, J, Harland, D orcid.org/0000-0002-4110-9673 and Winyard, T (2021) A model for gauged skyrmions with low binding energies. Journal of Physics A: Mathematical and Theoretical. ISSN 1751-8113
Abstract
We consider gauged skyrmions with boundary conditions which break the gauge from SU(2) to U(1) in models derived from Yang–Mills theory. After deriving general topological energy bounds, we approximate charge 1 energy minimisers using KvBLL calorons with non-trivial asymptotic holonomy, use them to calibrate the model to optimise the ratio of energy to lower bound, and compare them with solutions to full numerical simulation. Skyrmions from calorons with non-trivial asymptotic holonomy exhibit a non-zero magnetic dipole moment, which we calculate explicitly, and compare with experimental values for the proton and the neutron. We thus propose a way to develop a physically realistic Skyrme–Maxwell theory, with the potential for exhibiting low binding energies.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 25 Nov 2021 12:12 |
Last Modified: | 25 Nov 2021 12:12 |
Status: | Published online |
Publisher: | Institute of Physics Publishing |
Identification Number: | 10.1088/1751-8121/ac3c81 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:180698 |