2001/11/15 by Thomas Schwarzweller, Schwarzweller, Thomas
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0111141
Contribution to the Proceedings of the 3rd international Conference on Geometry, Integrability and Quantization, which was heldin Varna, Bulgaria, 14-23 June 2001
arxiv created 2001/11/15 · arxiv updated 2009/11/30
I investigate the Poisson-sigma model on the classical and quantum level. First I show how the interaction can be obtained by a deformation of the classical master equation of an Abelian BF theory in two dimensions. On the classical level this model includes various known two-dimensional field theories, in particular the Yang-Mills theory. On the quantum level the perturbation expansion of the path integral in the covariant gauge yields the Kontsevich deformation formula. Finally I perform the calculation of the path integral in a general gauge, and demonstrate how the derived partition function reduces in the special case of a linear Poisson structure to the familiar form of 2d Yang-Mills theory.