对偶超导模型n=90—110的近似解析解

Approximate Analytical Solution of Vortices with Quantum n=90—110 in Dual Superconductor Model

研究了对偶超导模型的大n涡旋。基于变分原理得出了Abelian-Higgs模型在n=90—110的近似涡旋解析解,并计算了涡旋张力对n的依赖性。发现,每根涡旋的张力大致随n线性增长。期望该解对理解Abelian-Higgs模型中的大量子数涡旋的墙行为具有一定价值。

The large-n vortices in the dual superconductor model was investigated. An approximate analytical solution was obtained for n-fold quantized vortices with n = 90--110 by variationally solving the Abelian-Higgs model, and the vortex tension was calculated as a function of n. It was found that the vortex tension rises linearly as n grows. It is hoped that our solution shines light on the understanding of the wall behavior of the large n vortices in Abelian-Higgs model.