超对称电磁相互作用系统的BRST量子化及其正则Ward恒等式

运用Becchi-Rouet-Stora-Tyutin路径积分量子化方法对超对称电磁相互作用系统进行了量子化.在相空间中化简了超对称电磁相互作用系统Hamiltonian量,进而使该系统的量子化被化简.构造体系的BRST生成元,得到了系统的BRST变换;给出了有效作用量,得到了Green函数生成泛函;构造了体系的规范生产元,并得到了系统的规范对称变换.最后,基于正则系统的Noether定理,给出了规范变换的Ward-Takahashi恒等式,进而讨论了正规顶角和传播子的关系,给出了正规顶角和传播子的两个关系式.

BRST quantization and canonical Ward identity of the supersymmetric electromagnetic interaction system

According to the method of path integral quantization for the canonical constrained system in Becchi-Rouet-Stora-Tyutin scheme, the supersymmetric electromagnetic interaction system was quantized. Both the Hamiltonian of the supersymmetric electromagnetic interaction system in phase space and the quantization procedure were simplified. The BRST generator was constructed, and the BRST transformations of supersymmetric fields were gotten; the effective action was calculated, and the generating functional for the Green function was achieved; also, the gauge generator was constructed, and the gauge transformation of the system was obtained. Finally, the Ward-Takahashi identities based on the canonical Noether theorem were calculated, and two relations between proper vertices and propagators were obtained.