论文标题
分析性婴儿天空有限密度
Analytic Baby Skyrmions at Finite Density
论文作者
论文摘要
我们在（2+1）维度中为婴儿Skyrme模型引入了一个一致的ANSATZ，该模型能够将完整的字段方程式降低到一个概要函数的一个方程式，而在这种情况下，婴儿baryon电荷可以是任意的。构建了和不包括最小耦合与麦克斯韦场的效应的许多分析解决方案。讨论了线性稳定性和其他物理特性。这些分析性的婴儿天空源会产生一个持久的$ u（1）$当前，由于它与婴儿天空的拓扑指控息息相关，因此无法连续关闭。在测量婴儿天空的最简单的非平凡情况下，Mathieu方程式具有有效的耦合常数，可以明确计算出非常重要的作用。这些配置是在不可融合的上下文中测试复兴的非常合适的竞技场。
We introduce a consistent ansatz for the baby Skyrme model in (2+1)-dimensions which is able to reduce the complete set of field equations to just one equation for the profile function in situations in which the baby baryon charge can be arbitrary. Many analytic solutions both with and without the inclusion of the effects of the minimal coupling with the Maxwell field are constructed. Linear stability and other physical properties are discussed. These analytic gauged baby Skyrmions generate a persistent $U(1)$ current which cannot be turned off continuously as it is tied to the topological charge of the baby Skyrmions themselves. In the simplest non-trivial case of a gauged baby Skyrmion, a very important role is played by the Mathieu equation with an effective coupling constant which can be computed explicitly. These configurations are a very suitable arena to test resurgence in a non-integrable context.
