A model for gauged skyrmions with low binding energies

التفاصيل البيبلوغرافية
العنوان: A model for gauged skyrmions with low binding energies
المؤلفون: Cork, Josh, Harland, Derek, Winyard, Thomas
المصدر: 2022 J. Phys. A: Math. Theor. 55 015204
سنة النشر: 2021
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics
الوصف: We consider gauged skyrmions with boundary conditions which break the gauge from $\mathrm{SU}(2)$ to $\mathrm{U}(1)$ 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.
Comment: 1+40 pages, 7 figures. Minor changes and references added, matches accepted journal version
نوع الوثيقة: Working Paper
DOI: 10.1088/1751-8121/ac3c81
URL الوصول: http://arxiv.org/abs/2109.06886
رقم الأكسشن: edsarx.2109.06886
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/1751-8121/ac3c81