SU（n）N = 2具有非阿贝尔Chern-Simons拓扑项的超对称规范场系统的Faddeev-Senjanovic量子化及其分数自旋
Faddeev-Senjanovic Quantization of SU(n) N=2 Supersymmetric Gauge Field System with Non-Abelian Chern-Simons Topological Term and Its Fractional Spin
摘要：
利用约束Hamilton系统的Faddeev-Senjanovic路径积分量子化方法，在2 + 1维空间中构造了具有非交换Chern-Simons拓扑项的SU（n）N = 2超对称规范场系统，并利用一个规范条件的相容性自然地导出了另一个规范条件.进一步得到了相空间中格林函数的生成泛函，基于量子水平上的整体正则Noether定理推导了角动量，得到了该超对称系统的分数自旋，并证明了总角动量具有非交换规范场的轨道角动量和自旋角动量.最后，我们发现了反常的分数自旋，并发现分数自旋既有群标分量的贡献，也有A_0^s（x）电荷的贡献。
英文摘要：
Using Faddeev-Senjanovic path integral quantization for constrained Hamilton system, we quantize SU(n) N=2 supersymmetric gauge field system with non-abelian Chern-Simons topological term in 2+1 dimensions, and use consistency of a gauge condition naturally to deduce another gauge condition. Further, we get the generating functional of Green function in phase space, deduce the angular momentum based on the global canonical Noether theorem at quantum level, obtain the fractional spin of this supersymmetric system, and show that the total angular momentum has the orbital angular momentum and spin angular momentum of the non-abelian gauge field. Finally, we find out the anomalous fractional spin and discover that the fractional spin has the contributions of both the group superscript components and the A_0^s (x) charge.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
