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arXiv · 1907.08075

Stable interactions between higher derivative extended Chern-Simons and charged scalar field

V. A. Abakumova·D. S. Kaparulin·S. L. Lyakhovich
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Abstract

We consider inclusion of interactions between the higher derivative extended Chern-Simons and charged scalar field. We demonstrate that the order $N$ extended Chern-Simons and order $2n$ charged scalar admit the $(N+n)$-parameter series of interaction vertices. The interactions are in general non-Lagrangian, but they preserve a certain conserved second-rank tensor, whose parameters are determined by the coupling. The $00$-component of this tensor can be bounded even if the canonical energy of the model is unbounded before the inclusion of interaction. If the $00$-component of conserved tensor is bounded, the theory is stable.

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V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich. 2019-07-18. Stable interactions between higher derivative extended Chern-Simons and charged scalar field. https://doi.org/10.1063/1.5130123

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