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

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.

7 pages, submitted to the AIP Conference Proceedings

References in corpus (4)

• Critical Gravity in Four Dimensions
• Classical and quantum stability of higher-derivative dynamics
• Classical and Quantum Dynamics of Higher-Derivative Systems
• Pais-Uhlenbeck Oscillator and Negative Energies

Cited by in corpus (4)

• Foundations of ghost stability
• On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches
• Stability in the higher derivative Abelian gauge field theory
• Stability and consistent interactions in Podolsky's generalized electrodynamics