论文标题
BRST分析和BFV量化量子
BRST Analysis and BFV Quantization of the Generalized Quantum Rigid Rotor
论文作者
论文摘要
我们确定了几个不同最初的二等系统的强烈相似性，包括机械和现场理论模型，可以自然地以规模不变的方式描述。此类相关系统的规范结构被编码为量子刚性转子的规范不变的概括。我们对上述规范量子刚性转子的不变版本进行了BRST对称分析和BFV功能量化。根据特定的量规选择，我们获得了不同的等效作用，明确显示其BRST对称性。我们将讨论的想法应用于两个特定模型，即沿椭圆路径和$ o（n）$ nonlinear Sigma模型的运动，表明我们的结果繁殖并连接了先前无关的已知量规不变系统。
We identify a strong similarity among several distinct originally second-class systems, including both mechanical and field theory models, which can be naturally described in a gauge-invariant way. The canonical structure of such related systems is encoded into a gauge-invariant generalization of the quantum rigid rotor. We pursue the BRST symmetry analysis and the BFV functional quantization for the mentioned gauge-invariant version of the generalized quantum rigid rotor. We obtain different equivalent effective actions according to specific gauge-fixing choices, showing explicitly their BRST symmetries. We apply and exemplify the ideas discussed to two particular models, namely, motion along an elliptical path and the $O(N)$ nonlinear sigma model, showing that our results reproduce and connect previously unrelated known gauge-invariant systems.
