论文标题
当它们成长巨人时，涡流变成了什么
What becomes of vortices when they grow giant
论文作者
论文摘要
我们讨论了Abelian Higgs模型的涡旋解决方案，该模型的限制为$ n $。我们建议一个框架，即拓扑量子数$ n $与动态尺度的比率相关，而$ n $的反向功率的系统扩展则以有效的现场理论的精神得出。获得$ {\ it巨型} $涡流的一般渐近形式。对于关键耦合，轴向对称的涡旋变成了$ {\ it-n $限制中的$ {\ itable} $，我们提出相应的分析解决方案。该方法为涡流形状和参数提供了简单的渐近公式，可以系统地改进，并可以应用于其他模型的拓扑孤子。在包含临时术语之后，近似值非常有效，直到$ n = 1 $。
We discuss vortex solutions of the abelian Higgs model in the limit of large winding number $n$. We suggest a framework where a topological quantum number $n$ is associated with a ratio of dynamical scales and a systematic expansion in inverse powers of $n$ is then derived in the spirit of effective field theory. The general asymptotic form of ${\it giant}$ vortices is obtained. For critical coupling the axially symmetric vortices become ${\it integrable}$ in the large-$n$ limit and we present the corresponding analytic solution. The method provides simple asymptotic formulae for the vortex shape and parameters with accuracy that can be systematically improved, and can be applied to topological solitons of other models. After including the next-to-leading terms the approximation works remarkably well down to $n=1$.
