Stable interactions between the extended chern-simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich
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ArticleSubject(s): Черна-Саймонса расширенная теория | гамильтонов формализм | заряженное скалярное полеGenre/Form: статьи в журналах Online resources: Click here to access online
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Russian physics journal Vol. 62, № 1. P. 12-22Abstract: The constrained Hamiltonian formalism for the extended higher derivative Chern–Simons theory of an arbitrary finite order is considered. It is shown that the n-th order theory admits an (n–1)-parametric series of conserved tensors. It is clarified that this theory admits a series of canonically non-equivalent Hamiltonian formulations, where a zero-zero component of any conserved tensor can be chosen as a Hamiltonian. The canonical Ostrogradski Hamiltonian is included into this series. An example of interactions with a charged scalar field is also given, which preserve the selected representative of the series of Hamiltonian formulations.
Библиогр.: 16 назв.
The constrained Hamiltonian formalism for the extended higher derivative Chern–Simons theory of an arbitrary finite order is considered. It is shown that the n-th order theory admits an (n–1)-parametric series of conserved tensors. It is clarified that this theory admits a series of canonically non-equivalent Hamiltonian formulations, where a zero-zero component of any conserved tensor can be chosen as a Hamiltonian. The canonical Ostrogradski Hamiltonian is included into this series. An example of interactions with a charged scalar field is also given, which preserve the selected representative of the series of Hamiltonian formulations.
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