Publication: Constrained systems, generalized Hamilton-Jacobi actions, and quantization
Constrained systems, generalized Hamilton-Jacobi actions, and quantization
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Cattaneo, A. S., Mnev, P., & Wernli, K. (2022). Constrained systems, generalized Hamilton-Jacobi actions, and quantization. Journal of Geometric Mechanics, 14(2), 179–272. https://doi.org/10.3934/jgm.2022010
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Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In the classical theory, systems with infinite-dimensional targets are considered as well (this then encompasses also higher-dimensional field theories in the hamiltonian formalism). The properties of the Hamilton–Jacobi (HJ) action are described in details and several examples are explicitly computed (including nonabelian Chern–Simons theory, where the HJ action turns out to be the gauged Wess–Zumino–Witten action). Perturbative qu
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Cattaneo, A. S., Mnev, P., & Wernli, K. (2022). Constrained systems, generalized Hamilton-Jacobi actions, and quantization. Journal of Geometric Mechanics, 14(2), 179–272. https://doi.org/10.3934/jgm.2022010
