Path integral quantization of the Poisson-Sigma model

Allen C. Hirshfeld (University of Dortmund); Thomas Schwarzweller (University of Dortmund)

arxiv: hep-th/9910178 · v2 · pith:T3XOCC7Anew · submitted 1999-10-22 · ✦ hep-th

Path integral quantization of the Poisson-Sigma model

Allen C. Hirshfeld (University of Dortmund) , Thomas Schwarzweller (University of Dortmund) This is my paper

classification ✦ hep-th

keywords modelgaugeintegralpathpoisson-sigmaquantizationtheorytwo-dimensional

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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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