论文标题
仪表不变的四阶Pais-uhlenbeck振荡器的BFV量化和BRST对称性
BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator
论文作者
论文摘要
我们执行四阶Pais-uhlenbeck振荡器（PUO）的BFV-BRST量化。我们表明，尽管PUO并非自然受到Dirac-Bergmann的限制，但可以从相位空间中的合适约束中获利，以获得适当的BRST不变量子系统。从其二等限制的系统描述开始，我们使用BFFT转换方法将一流的约束作为规格对称发生器。在约束的ABELIANIAD之后，我们获得了保守的BRS电荷，相应的BRST转换，并进一步继续进行模型的BFV功能量化。我们表明，可以通过有限的场依赖性BRST变换来连接不同的可能的量规选择。
We perform the BFV-BRST quantization of the fourth-order Pais-Uhlenbeck oscillator (PUO). We show that although the PUO is not naturally constrained in the sense of Dirac-Bergmann, it is possible to profit from the introduction of suitable constraints in phase space in order to obtain a proper BRST invariant quantum system. Starting from its second-class constrained system description, we use the BFFT conversional approach to obtain first-class constraints as gauge symmetry generators. After the Abelianization of the constraints, we obtain the conserved BRST charge, the corresponding BRST transformations and proceed further to the BFV functional quantization of the model. We show that different possible gauge choices can be connected by finite field-dependent BRST transformations.
