Path integral quantization of the Poisson‐Sigma model

We apply the antifield quantization method of Batalin and Vilkovisky to the calculation of the path integral for the Poisson‐Sigma model in a general gauge. For a linear Poisson structure the model reduces to a nonabelian gauge theory, and we obtain the formula for the partition function of two‐dimensional Yang‐Mills theory for closed oriented two‐dimensional manifolds.