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We accomplish the Batalin-Fradkin-Vilkovisky (BFV) quantization of the Christ-Lee model in both polar and Cartesian coordinates. We construct the BRST charge along with gauge-fixing function and obtain the BRST invariant effective action. We also procure the finite field-dependent BRST (FFBRST) symmetries of the model. Finally, we obtain a generalized action of the model with finite field-dependent parameter. Thus, we bridge the BFV-BRST gauge-fixed action and the gauge-invariant classical action of the model using FFBRST transformations.
Nair et al. (Sun,) studied this question.