非定域变换的广义Ward恒等式

Generalized Ward Identities for Non-local Transformation

基于高阶微商奇异拉氏量系统相空间Green函数的生成泛函 ,导出了该系统在定域和非定域变换下的广义正则Ward恒等式 .对规范不变系统 ,从位形空间生成泛函出发 ,导出了该系统在定域、非定域和整体变换下的广义Ward恒等式 .用于高阶微商非Abel(Chern SimonsCS)理论 ,无需作出生成泛函中对正则动量的路径积分 ,即可导出正规顶角的某些关系 .此外还给出了BRS变换下的Ward Takahashi恒等式 .

Based on the phase space generating functional of Green function for a system with a singular higher order Lagrangian, the generalized canonical Ward identities under the local and non local transformation in phase space for such a system have been derived. Starting from the configuration space generating functional for a gauge invariant system, the generalized Ward identities were deduced under the local, non local and global transformation, respectively. The applications to the non Abelian Chern Simons theories with higher derivatives were given. Some relationships among the proper vertices have been deduced, in which one does not need to carry out the integration over canonical momenta in phase space generating functional. The Ward Takahashi identities for BRS transformation are also obtained.