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 a model of boson where the kinetic term is like the kinetic term 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.

中文翻译：

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具有非协变类质量项的规范场的 (1 + 1) 维玻色子模型

我们考虑 Siegel 型手性玻色子的规范模型，其规范场具有洛伦兹非协变类质量项，发现该模型等效于其中动力学项类似于 Floreanini-Jackiw 型手性项的玻色子模型玻色子。我们在拉格朗日公式和哈密顿公式中对该模型进行了规范非不变版本的量化。该模型的规范不变版本在扩展相空间中的量化也已在拉格朗日公式中进行。发现该模型在扩展相空间中的规范不变版本映射到具有适当规范固定条件的物理相空间。与该模型相关的 BRST 对称性已经用不同的规范固定项进行了研究。