运用映射拓扑流理论研究了Jackiw-Pi模型中的自对偶方程,得到一个静态的自对偶解满足带有δ函数项的刘维尔方程,从而得到了一个完整的带有拓扑信息的涡旋解,自然给出了磁通量子化.
Based on current-mapping topological theory,a kind of self-dual equations in Jackiw-Pi model are studied.We first obtain explicit,self-dual solutions that satisfy Liouville equation which contains δ-function.Then we get perfect vortex solutions which reflect the system's internal topological structure,and consequently the quantization of flux.