论文标题
将涡流数链接为重子编号
Linking number of vortices as baryon number
论文作者
论文摘要
我们表明，Skyrmion场的拓扑度与HOPF图下的HOPF电荷相同，因此等同于Hopf Map下2个指数上两个点的前图的链接数。我们进一步将两个特定点解释为涡旋零，而这些零线的链接来自后者定理。最后，我们猜测，天空的拓扑度可以解释为与零线相对应的旋转数量的乘积，总结在涡旋簇上。
We show that the topological degree of a Skyrmion field is the same as the Hopf charge of the field under the Hopf map and thus equals the linking number of the preimages of two points on the 2-sphere under the Hopf map. We further interpret two particular points on the 2-sphere as vortex zeros and the linking of these zero lines follows from the latter theorem. Finally we conjecture that the topological degree of the Skyrmion can be interpreted as the product of winding numbers of vortices corresponding to the zero lines, summing over clusters of vortices.
