论文标题
BRST，病房身份，仪表依赖性和功能重新归一化组
BRST, Ward identities, gauge dependence, and a functional renormalization group
论文作者
论文摘要
量规理论在Faddeev-Popov（FP）方法，Batalin-Vilkovisky（BV）形式主义，功能重新归一化组（FRG）方法中的基本特性。 FP和BV量化的特征在于Becchi-Rouet-stora-tyutin（BRST）对称性，而BRST对称性则在FRG方法中被打破。结果表明，可以分别以Slavnov-Taylor的身份，病房身份和修改后的Slavnov-Taylor身份提供FP方法，BV形式主义和FRG方法。事实证明，使用背景字段方法可以在非线性仪表中实现FP和FRG量化过程中有效动作的背景规规不变性。研究了FP，BV和FRG量化中的量规依赖性问题。在规定理论的情况下，我们可以说明FRG的主要问题的存在。
Basic properties of gauge theories in the framework of Faddeev-Popov (FP) method, Batalin-Vilkovisky (BV) formalism, functional renormalization group (FRG) approach are considered. The FP and BV quantizations are characterized by the Becchi-Rouet-Stora-Tyutin (BRST) symmetry while the BRST symmetry is broken in the FRG approach. It is shown that the FP method, the BV formalism and the FRG approach can be provided with the Slavnov-Taylor identity, the Ward identity and the modified Slavnov-Taylor identity, respectively. It is proven that using the background field method the background gauge invariance of effective action within the FP and FRG quantization procedures can be achieved in nonlinear gauges. The gauge-dependence problem within the FP, BV and FRG quantizations is studied. Arguments allowing us to state the existence of principal problems of the FRG in the case of gauge theories are given.
