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BRST analysis and BFV quantization of the generalized quantum rigid rotor
Modern Physics Letters A ( IF 1.4 ) Pub Date : 2021-06-02 , DOI: 10.1142/s0217732321501169
Ronaldo Thibes 1
Affiliation  

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 perform 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.

中文翻译:

广义量子刚性转子的BRST分析和BFV量化

我们确定了几个不同的原始二类系统之间的强烈相似性,包括机械和场论模型,它们可以自然地以规范不变的方式描述。这种相关系统的规范结构被编码为量子刚性转子的规范不变推广。我们对广义量子刚性转子的上述规范不变版本进行 BRST 对称性分析和 BFV 函数量化。我们根据特定的规范固定选择获得不同的等效有效动作,明确显示它们的 BRST 对称性。我们将讨论的想法应用并举例说明了两个特定模型,即沿椭圆路径的运动和(ñ)非线性 sigma 模型,表明我们的结果再现并连接了以前不相关的已知规范不变系统。
更新日期:2021-06-02
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