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arXiv 1907.08075hep-th
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高阶导数推广的Chern-Simons与带电标量场的稳定相互作用

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

V. A. Abakumova, D. S. Kaparulin, S. L. Lyakhovich

摘要:

我们考虑了高阶导数推广的Chern-Simons与带电标量场之间的相互作用。我们证明了序$N$扩展的Chern-Simons和序$2n$带电标量允许相互作用顶点的$(N+n)$参数序列.的相互作用是在一般的非拉格朗日,但他们保持一定的保守的二阶张量,其参数是由耦合。这个张量的$00$ -分量可以是有界的,即使在包含相互作用之前模型的正则能量是无界的。如果守恒张量的$00$ -分量是有界的,则理论是稳定的。

英文摘要:

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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