A model for gauged skyrmions with low binding energies
A model for gauged skyrmions with low binding energies
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DOI：
10.1088/1751-8121/ac3c81
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发表时间：
2021-09
期刊：
影响因子：
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通讯作者：
Josh Cork;D. Harland;T. Winyard
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文献类型：
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作者：
Josh Cork;D. Harland;T. Winyard
我们考虑规范skyrmions与边界条件，打破规范从SU（2）到U（1）的模型中导出的杨米尔斯理论。在推导出一般的拓扑能量边界后，我们使用具有非平凡渐近完整性的KvBLL calorons来近似电荷1能量极小值，使用它们来校准模型以优化能量与下限的比率，并将它们与完整数值模拟的解决方案进行比较。Skyrmions从calorons与非平凡的渐近holonomy表现出非零的磁偶极矩，我们明确计算，并与质子和中子的实验值进行比较。因此，我们提出了一种方法来发展一个物理上现实的Skyrme麦克斯韦理论，具有潜在的表现出低结合能。
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.