The BRST quantization of the U(1) gauged model of FJ-type chiral boson for $a=1$ and $a=2$ are performed using the Batalin–Fradkin–Vilkovisky formalism. BFV formalism converts the second-class algebra into an effective first-class algebra with the help of auxiliary fields. Explicit expressions of the BRST charge, the involutive Hamiltonian, and the preserving BRST symmetry action are given and the full quantization has been carried through. For $a=2$, this Hamiltonian gives the gauge invariant Lagrangian including the well-known Wess–Zumino term, while for $a=1$ the corresponding Lagrangian has the additional new type of the Wess–Zumino term. The spectra in both cases have been analysed and the Wess–Zumino actions in terms of auxiliary fields are identified.

FJ型手性玻色子U（1）计量模型的BRST量化。 $\mathrm{一种}=\mathrm{1个}$ 和 $\mathrm{一种}=2$使用Batalin–Fradkin–Vilkovisky形式主义进行。BFV形式主义借助辅助场将二等代数转换为有效的一等代数。给出了BRST电荷，对合哈密顿量和保持BRST对称作用的显式表达式，并进行了完整的量化。对于$\mathrm{一种}=2$，该哈密顿量给出了标量不变的拉格朗日值，其中包括著名的韦斯-祖米诺项。 $\mathrm{一种}=\mathrm{1个}$相应的Lagrangian具有Wess–Zumino术语的其他新类型。分析了两种情况下的光谱，并确定了辅助场方面的Wess-Zumino作用。