论文标题
$ su（n）$级别理论的分数拓扑费用没有动态夸克
Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
论文作者
论文摘要
在没有动态夸克的$ su（n）$量规理论中，我们讨论了如何在真空中出现分数拓扑充电，$ \ sim 1/n $的配置，并在限制阶段中占主导地位。它们不是经典运动方程的解决方案，而是作为有效拉格朗日的量子解决方案出现的。它们的大小基本上是固定的，按照限制量表的顺序。我们提供一般的数学分析和说明性解决方案。可以使用已知方法在晶格上的数值模拟来测量它们的存在。当他们携带$ \ mathbb {z} _n $磁性电荷时，动态夸克的引入显着使它们的动态复杂化。
In $SU(N)$ gauge theories without dynamical quarks, we discuss how configurations with fractional topological charge, $\sim 1/N$, can arise in the vacuum and dominate in the confining phase. They are not solutions of the classical equations of motion, but arise as quantum solutions of the effective Lagrangian. Their size is essentially fixed, on the order of the confinement scale. We give both a general mathematical analysis and illustrative solutions. Their presence can be measured through numerical simulations on the lattice using known methods. As they carry $\mathbb{Z}_N$ magnetic charge, the introduction of dynamical quarks significantly complicates their dynamics.
