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arXiv · hep-th/9910178

Path integral quantization of the Poisson-Sigma model

Allen C. Hirshfeld·Thomas Schwarzweller
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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.

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Allen C. Hirshfeld, Thomas Schwarzweller. 2000-03-14. Path integral quantization of the Poisson-Sigma model. https://doi.org/10.1002/(sici)1521-3889(200002)9%3A2%3C83%3A%3Aaid-andp83%3E3.0.co%3B2-s

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