标题： 规范化的磁单极子 显示英文标题

标题： Gauged merons

摘要： 我们构造了规范平面Skyrme模型在目标空间$S^2$上具有分数拓扑荷的新一类正则孤子解，标量部分的拓扑荷为分数形式。这些场构型代表了Skyrmed涡旋，它们具有有限的能量，并携带拓扑量子化的磁通量$\Phi=2\pi n$，其中$n$是整数。利用一种特殊版本的乘积假设作为引导，我们通过数值松弛得到各种多meron解，并研究了带有分数电荷的孤子之间的相互作用模式。我们表明，与阿贝尔-希格斯模型中的涡旋不同，规范化的meron可能同时表现出短程排斥和长程吸引。考虑强规范耦合极限时，我们证明Skyrme场平面分量$\phi_\perp = \phi_1+i\phi_2$的Poincaré指数决定了磁通量的拓扑量子化。 显示英文摘要

摘要： We construct new class of regular soliton solutions of the gauged planar Skyrme model on the target space $S^2$ with fractional topological charges in the scalar sector. These field configurations represent Skyrmed vortices, they have finite energy and carry topologically quantized magnetic flux $\Phi=2\pi n$ where $n$ is an integer. Using a special version of the product ansatz as guide, we obtain by numerical relaxation various multimeron solutions and investigate the pattern of interaction between the fractionally charged solitons. We show that, unlike the vortices in the Abelian Higgs model, the gauged merons may combine short range repulsion and long range attraction. Considering the strong gauge coupling limit we demonstrate that the topological quantization of the magnetic flux is determined by the Poincar\'{e} index of the planar components $\phi_\perp = \phi_1+i\phi_2$ of the Skyrme field.