A model for gauged skyrmions with low binding energies

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Josh Cork
  • Derek Harland
  • Thomas Winyard

External Research Organisations

  • University of Leeds
  • University of Kent
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Details

Original languageEnglish
Article number015204
Number of pages37
JournalJournal of Physics A: Mathematical and Theoretical
Volume55
Issue number1
Early online date13 Dec 2021
Publication statusPublished - 7 Jan 2022

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.

Keywords

    calorons, gauged skyrmions, topological bounds, Yang-Mills theory

ASJC Scopus subject areas

Cite this

A model for gauged skyrmions with low binding energies. / Cork, Josh; Harland, Derek; Winyard, Thomas.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 1, 015204, 07.01.2022.

Research output: Contribution to journalArticleResearchpeer review

Cork, J, Harland, D & Winyard, T 2022, 'A model for gauged skyrmions with low binding energies', Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015204. https://doi.org/10.1088/1751-8121/ac3c81, https://doi.org/10.1088/1751-8121/ac71ec
Cork, J., Harland, D., & Winyard, T. (2022). A model for gauged skyrmions with low binding energies. Journal of Physics A: Mathematical and Theoretical, 55(1), Article 015204. https://doi.org/10.1088/1751-8121/ac3c81, https://doi.org/10.1088/1751-8121/ac71ec
Cork J, Harland D, Winyard T. A model for gauged skyrmions with low binding energies. Journal of Physics A: Mathematical and Theoretical. 2022 Jan 7;55(1):015204. Epub 2021 Dec 13. doi: 10.1088/1751-8121/ac3c81, 10.1088/1751-8121/ac71ec
Cork, Josh ; Harland, Derek ; Winyard, Thomas. / A model for gauged skyrmions with low binding energies. In: Journal of Physics A: Mathematical and Theoretical. 2022 ; Vol. 55, No. 1.
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