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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
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
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