具有非阿贝尔Chern-Simons拓扑项的SU(n)N=2超对称规范场系统的量子化和分数自旋(英文)

Quantization of SU(n)N=2 Supersymmetric Gauge Field System with NonAbelian ChernSimons Topological

摘要: 基于路径积分的FaddeevSenjanovic量子化，先将具有非阿贝尔ChernSimons拓扑项的SU(n)N=2超对称规范场系统量子化，然后利用整体正则Noether定理得到了系统的总角动量，在量子水平下导出了该系统的分数自旋性质，并发现其分数自旋有来自非阿贝尔规范群分量的贡献。We quantize SU(n) N=2 supersymmetric gauge field system with nonAbelian ChernSimons topological term for constrained Hamilton system in framework of FaddeevSenjanovic path integral quantization, deduce the total angular momentum based on the global canonical Norther theorem at quantum level, obtain the fractional spin of this supersymmetric system, and find that this anomalous fractional spin has the contribution from the group superscript components.

Abstract: We quantize SU(n) N=2 supersymmetric gauge field system with nonAbelian ChernSimons topological term for constrained Hamilton system in framework of FaddeevSenjanovic path integral quantization, deduce the total angular momentum based on the global canonical Norther theorem at quantum level, obtain the fractional spin of this supersymmetric system, and find that this anomalous fractional spin has the contribution from the group superscript components.