Hamiltonian BRST quantization of (1+1)-dimensional massive vector fields

The Lagrangian of a (1 + 1)-dimensional massive vector field is quantized. Since it gives the system with second-class constraints, following Batalin and Fradkin, we introduce additional fields. Although the Stueckelberg field is usually introduced, we can use a pseudoscalar field instead. The duality between them is discussed. We show that the Stueckelberg mass term is equivalent to the Laplace transform of the Lagrangian of the gauged Wess-Zumino-Witten model.