The Poisson-Sigma Model - A Nonlinear Gauge Theory

dc.creatorSchwarzweller, Thomas
dc.date2001-11-15
dc.date.accessioned2026-07-07T04:12:41Z
dc.date.available2026-07-07T04:12:41Z
dc.descriptionI 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.
dc.descriptionContribution to the Proceedings of the 3rd international Conference on Geometry, Integrability and Quantization, which was heldin Varna, Bulgaria, 14-23 June 2001
dc.identifierhttps://arxiv.org/abs/hep-th/0111141
dc.identifierhttp://arxiv.org/abs/hep-th/0111141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50986
dc.subjectHigh Energy Physics - Theory
dc.titleThe Poisson-Sigma Model - A Nonlinear Gauge Theory
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