规范Floreanini-Jackiw手征玻色子的Faddeevian anomaly量子化
Quantization of gauged Floreanini-Jackiw chiral boson with Faddeevian anomaly
摘要：
本文考虑了具有Lorentz非协变类质量项的Siegel型手征玻色子规范模型，当它用Floreanini-Jackiw型手征玻色子描述时，它等价于具有Faddeevian反常的手征Schwinger模型.我们在拉格朗日和哈密顿两种形式下实现了该模型的规范非不变版本的量子化。该模型的规范不变版本在扩展相空间的量子化也进行了拉格朗日公式。在适当的规范固定条件下，该模型在扩展相空间中的规范不变形式可以映射到物理相空间中。用不同的规范固定项研究了该模型的BRST对称性。它已被证明，相同的模型显示出壳外以及壳上的BRST不变性取决于规范固定项的选择。
英文摘要：
We consider the gauged model of Siegel type chiral boson with a Lorentz non-covariant mass-like term for the gauge fields which is found to be equivalent to the chiral Schwinger model with Faddeevian anomaly when it is described in terms of Floreanini-Jackiw type chiral boson. We carry out the quantization of gauge non-invariant version this model in both the Lagrangian and Hamiltonian formulation. The quantization of the gauge-invariant version of this model in the extended phase space also has been carried out in the Lagrangian formulation. The gauge-invariant version of this model in the extended phase space is found to map onto the physical phase space with the appropriate gauge fixing condition. BRST symmetry associated with this model has been studied with different gauge fixing terms. It has been shown that the same model shows off-shell as well as on-shell BRST invariance depending on the choice of gauge fixing term.
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