Stable Interactions Between the Extended Chern-Simons Theory and a Charged Scalar Field with Higher Derivatives: Hamiltonian Formalism


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Abstract

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.

About the authors

V. A. Abakumova

National Research Tomsk State University

Author for correspondence.
Email: abakumova@phys.tsu.ru
Russian Federation, Tomsk

D. S. Kaparulin

National Research Tomsk State University

Email: abakumova@phys.tsu.ru
Russian Federation, Tomsk

S. L. Lyakhovich

National Research Tomsk State University

Email: abakumova@phys.tsu.ru
Russian Federation, Tomsk

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