Poisson structure induced (topological) field theories
Peter Schaller, Thomas Strobl
Abstract
Peter Schaller, Thomas Strobl
Abstract
A class of two dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang-Mills systems, is presented. Locally, the solutions of the classical equations of motion are given. A general scheme for the quantization of the models in a Hamiltonian formulation is found.
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A class of two dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang-Mills systems, is presented. Locally, the solutions of the classical equations of motion are given. A general scheme for the quantization of the models in a Hamiltonian formulation is found.
Key concepts: Physics, Degenerate energy levels, Hamiltonian (control theory), Quantization (signal processing), Poisson bracket, Theoretical physics, Poisson distribution, Class (philosophy)