非定域正则Ward恒等式

Canonical Ward Identities for Non-Iocal Transformation

基于相空间Green函数的生成泛函，导出了非定域变换下正则形式的Ward恒等式．用于非AbelChern－Simons（CS）理论，得到了正规项角间的一些关系式．这里给出的形式的显著优点在于匆需作出相空间生成泛函中对正则动量的路径积分．在非AbelCS理论中的非定域变换下，仅要求和不变，即可导出正规顶角间的一些关系式．

Based on the phase-space generating functional of Green function, the canonicalWard identities for non-local transformation have been derived. The application of the re-suIts to the non-Abelian Chern-Simons theory, the Ward identities for the gauge-ghostfield proper vertices have been also deduced. The significant advantage of our formulationin that one does not need to carry out the integration over canonical momenta in generatingfunctional and one on1y requives the sep and se,h to be invariant under the non-local trans-formation in non-Abelian Chern-Simons theory.