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VOL. 3 | 2002 The Poisson-Sigma Model: A Non-Linear Gauge Theory
Thomas Schwarzweller

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber


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.


Published: 1 January 2002
First available in Project Euclid: 12 June 2015

zbMATH: 1011.81042
MathSciNet: MR1884863

Digital Object Identifier: 10.7546/giq-3-2002-395-409

Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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