Stable interactions between extended Chern - Simons theory and charged scalar field with higher derivatives: Hamiltonian formalism
The constrained Hamiltonian formalism for the extended Chern-Simons theory with higher derivatives of arbitrary finite order is considered. It is shown that the theory of order n admits an ( n -1)-parametric family of conserved tensors. The family of canonically inequivalent Hamiltonian formulations is found such that the zero-zero component of any conserved tensor can serve as the Hamiltonian. Ostrogradsky's canonical Hamiltonian formulation is included in this family. We also give an example of interactions with charged scalar field that preserve a selected representative in the family of Hamiltonian formulations.
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Keywords
stability, Hamiltonian formalism, extended Chern - Simons model, higher derivative theories, расширенная теория Черна - Саймонса, гамильтонов формализм, теории с высшими производнымиAuthors
| Name | Organization | |
| Abakumova V.A. | National Research Tomsk State University | abakumova@phys.tsu.ru |
| Kaparulin D.S. | National Research Tomsk State University | dsc@phys.tsu.ru |
| Lyakhovich S.L. | National Research Tomsk State University | sll@phys.tsu.ru |
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