paper

Path integral quantization of the Poisson-Sigma model

arXiv:hep-th/9910178 · doi:10.1002/(SICI)1521-3889(200002)9:2<83::AID-ANDP83>3.0.CO;2-S

Abstract

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 two-dimensional manifolds.

20 pages (AmsTex), added references

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