标题： 反BRST对称性和背景场方法 显示英文标题

标题： AntiBRST symmetry and Background Field Method

摘要： 我们证明了SU(N)杨-米尔斯作用量（在线性协变规范中规范固定）要求同时在Becchi-Rouet-Stora-Tyutin (BRST) 对称性和相应的反BRST 对称性下不变，这自动意味着该理论是在（线性协变）背景场方法 (BFM) 规范中量子化的。因此，BFM及其相关的背景Ward恒等式自然地从理论的反BRST 不变量中出现，并不需要作为任意的规范固定过程引入。 将鬼场和反鬼场平等对待，这是由理论的BRST-反BRST 不变量表述所要求的，也会导致一个局部的反鬼场方程。这个局部反鬼场方程与局部鬼场方程一起完全解决了任意规范固定参数值下的鬼场部分的代数结构。 最后，我们证明当量子场被积分消去时，背景场是背景有效作用量的驻点。 显示英文摘要

摘要： We show that the requirement that a SU(N) Yang-Mills action (gauge fixed in a linear covariant gauge) is invariant under both the Becchi-Rouet-Stora-Tyutin (BRST) symmetry as well as the corresponding antiBRST symmetry, automatically implies that the theory is quantized in the (linear covariant) background field method (BFM) gauge. Thus, the BFM and its associated background Ward identity naturally emerge from antiBRST invariance of the theory and need not be introduced as an ad hoc gauge fixing procedure. Treating ghosts and antighosts on an equal footing, as required by a BRST-antiBRST invariant formulation of the theory, gives also rise to a local antighost equation that together with the local ghost equation completely resolve the algebraic structure of the ghost sector for any value of the gauge fixing parameter. We finally prove that the background fields are stationary points of the background effective action obtained when the quantum fields are integrated out.