Publications at the Riemann Center
A model for gauged skyrmions with low binding energies
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
University of Leeds
University of Kent
- Type
- Article
- Journal
- Journal of Physics A: Mathematical and Theoretical
- Volume
- 55
- No. of pages
- 37
- ISSN
- 1751-8113
- Publication date
- 07.01.2022
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Statistics and Probability, Modelling and Simulation, Mathematical Physics, General Physics and Astronomy
- Electronic version(s)
-
https://doi.org/10.1088/1751-8121/ac3c81 (Access:
Open
)
https://doi.org/10.1088/1751-8121/ac71ec (Access: Open )
