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.
Russian physics journal. 2019. Vol. 62, № 1. P. 12-22
Language
eng
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Физический факультет
Stable interactions between the extended chern-simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism