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Russian Physics Journal

, Volume 62, Issue 1, pp 12–22 | Cite as

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

  • V. A. AbakumovaEmail author
  • D. S. Kaparulin
  • S. L. Lyakhovich
Article
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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.

Keywords

higher-derivative theories Hamiltonian formalism extended Chern–Simons theory 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • V. A. Abakumova
    • 1
    Email author
  • D. S. Kaparulin
    • 1
  • S. L. Lyakhovich
    • 1
  1. 1.National Research Tomsk State UniversityTomskRussia

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