The Poisson-Sigma Model - A Nonlinear Gauge Theory
Abstract
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.
Cite
@article{arxiv.hep-th/0111141,
title = {The Poisson-Sigma Model - A Nonlinear Gauge Theory},
author = {Thomas Schwarzweller},
journal= {arXiv preprint arXiv:hep-th/0111141},
year = {2007}
}
Comments
Contribution to the Proceedings of the 3rd international Conference on Geometry, Integrability and Quantization, which was heldin Varna, Bulgaria, 14-23 June 2001