论文标题
新形式的BRST对称性在原型一流系统上
New Forms of BRST Symmetry on a Prototypical First-Class System
论文作者
论文摘要
我们仔细检查了许多已知形式的BRST对称性以及一些新形式，这些形式在原型的一流系统中实现了。普通的BRST，反BRST，双BRST和反双重brst对称性的相似性和差异被突出显示和讨论。我们确定一个精确的$ \ mathbb {z} _4 \ times \ times \ mathbb {z} _2 $ ghost部门对称的离散组，负责连接各种形式的brst变换。考虑到哈密顿的方法，这些对称性可以通过幽灵变量之间的典型转换相互关联。但是，在固定的拉格朗日观点中，双重BRST对称性的杰出特征作用可以得到充分理解。给出了新形式的BRST对称性，这是一套以前在文献中报道的特定特定形式以及全新的前所未有的集合。特色量规不间断的原型一流系统涵盖了广泛的物理模型，并阐明了当前量子场理论文献中以前的争议。
We scrutinize the many known forms of BRST symmetries, as well as some new ones, realized within a prototypical first-class system. Similarities and differences among ordinary BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetries are highlighted and discussed. We identify a precise $\mathbb{Z}_4\times\mathbb{Z}_2$ discrete group of symmetries of the ghost sector, responsible for connecting the various forms of BRST transformations. Considering a Hamiltonian approach, those symmetries can be interrelated by canonical transformations among ghost variables. However, the distinguished characteristic role of the dual BRST symmetries can be fully appreciated within a gauge-fixed Lagrangian viewpoint. New forms of BRST symmetries are given, a set generalizing particular ones previously reported in the literature as well as a brand new unprecedented set. The featured gauge invariant prototypical first-class system encompasses an extensive class of physical models and sheds light on previous controversies in the current quantum field theory literature.
