高阶微商场论中正则形式的Ward恒等式
Canonical Ward Identities in Field Theory for a System with Derivatives of Higher Order
-
摘要: 从高阶微商系统在相空间中Green函数的生成泛函的变换不变性出发,分别导出了正规系统和奇异系统正则形式的Ward恒等式.给出了与CS理论等价的推广形式的量化,在广义Coulomb规范下,泛函积分量子化中不出现Faddeev-Popov鬼粒子场.将正则形式Ward恒等式初步应用于上述系统,得到了场的传播子和正规顶角之间的某些关系.Abstract: The generating functional of Green Function for a system with derivative of higher-order is invariance under the transformation of canonical variables in phase space. From which the Ward identities in canonical form for regular and singular system have been derived respectively. Also the quantization for a generalized system is given which is equivalent to the SC Theory. Then,the Faddeey-Popov ghostparticle field is proved to be absent in quantization of functional integral. Thus the Ward Identities in canonical form are applied to the above system, and some relationship between propagators and proper vertices for the fields are given.