基于约束极小化的最小规范Skyrme模型中双子的存在性
Existence of Dyons in Minimally Gauged Skyrme Model via Constrained Minimization
摘要：
我们证明了存在的电和磁带电粒子的静态解决方案，被称为双子，在最小规格的Skyrme模型开发的Brihaye，哈特曼和Tchrakian。该解是球对称的，依赖于两个连续参数，并且带有单位磁荷和磁荷，但带有连续Skyrme荷和由t Hooft电磁感应的非量子化电荷.这个问题相当于获得一个不确定作用泛函的有限能量临界点，该临界点是由电和闵可夫斯基时空签名的存在引起的。希格斯场的情况下的困难是克服实现适当的强收敛，并获得统一的衰减估计在奇异边界点，使负部门的作用功能变得易于处理。
英文摘要：
We prove the existence of electrically and magnetically charged particlelike static solutions, known as dyons, in the minimally gauged Skyrme model developed by Brihaye, Hartmann, and Tchrakian. The solutions are spherically symmetric, depend on two continuous parameters, and carry unit monopole and magnetic charges but continuous Skyrme charge and non-quantized electric charge induced from the 't Hooft electromagnetism. The problem amounts to obtaining a finite-energy critical point of an indefinite action functional, arising from the presence of electricity and the Minkowski spacetime signature. The difficulty with the absence of the Higgs field is overcome by achieving suitable strong convergence and obtaining uniform decay estimates at singular boundary points so that the negative sector of the action functional becomes tractable.
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