Details
| Original language | English |
|---|---|
| Article number | 015204 |
| Number of pages | 37 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 55 |
| Issue number | 1 |
| Early online date | 13 Dec 2021 |
| Publication status | Published - 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
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Statistics and Probability
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and Theoretical, Vol. 55, No. 1, 015204, 07.01.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A model for gauged skyrmions with low binding energies
AU - Cork, Josh
AU - Harland, Derek
AU - Winyard, Thomas
N1 - Funding Information: JC is grateful to Lancaster University, UK, for allowing extended access to MATLAB, through which many of the results of this work were calculated. TW was supported by the University of Leeds as an Academic Development Fellow throughout the duration of this project, and by the UK Engineering and Physical Sciences Research Council through grant EP/P024688/1. Some of the numerical simulations were run using the Soliton Solver library developed by TW at the University of Leeds. This work was undertaken on ARC4, part of the High Performance Computing facilities at the University of Leeds, UK.
PY - 2022/1/7
Y1 - 2022/1/7
N2 - 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.
AB - 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.
KW - calorons
KW - gauged skyrmions
KW - topological bounds
KW - Yang-Mills theory
UR - http://www.scopus.com/inward/record.url?scp=85122886414&partnerID=8YFLogxK
U2 - 10.1088/1751-8121/ac3c81
DO - 10.1088/1751-8121/ac3c81
M3 - Article
AN - SCOPUS:85122886414
VL - 55
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 1
M1 - 015204
ER -