泛函积分形式中的整体正则对称性质

基于高阶微商奇异拉氏量系统的相空间泛函积分，导出了该系统在相空间中整体变换下的广义正则Ｗａｒｄ恒等式，得到了系统在相空间中整体对称下的量子守恒荷，该守恒荷一般有别于经典Ｎｏｅｔｈｅｒ荷。用于高阶徽商Ｙａｎｇ－Ｍｉｌｌｓ理论，导出了相应的广义ＢＲＳ荷。这里给出的形式的突出优点在于勿需作出Ｇｒｅｅｎ函数的相空间生成泛函中对正则动量的泛函积分，即可导出相应的结果。一般情形是不能作出该积分的。

Global Canonical Symmetry in the Functional Integral Formalism

In this paper,on the basis of the phase-space functional integral for a system with a singular higher-order lagrangian, the canonical Ward identities for such a system under the global transformation in extended phase space have been derived; the quantal conserved charge under the global symmetry transformation in extended phase space is obtained. In view of this conserved charge in general is different from Noether charge in classical theory.A preliminary application of this formulation to Yang-Mills theory with higher-order derivatives is presented;the generalized BRS Charge is deduced.It is shown that the advantage of this formulation is that one does not need to carry out the integration over canonical momenta in phase-space functional integral, which could not be done by usual practice.