利用\mathcal{PT}对称性处理Gallilean不变量Chern Simon模型的Ostrogradski不稳定性
Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry
摘要：
Ostrogradski鬼问题，出现在含有约束的高阶导数理论已被认为是在这里。具体来说，我们考虑的系统中，只有第二类约束出现。对于这类系统，不可能测量出引起不稳定性的线动量。为了解决这个问题，我们考虑了PT对称方面的理论。作为一个例子，我们考虑了$2+1$ D中的伽利略不变的Chern Simons模型，它是一个纯二阶系统。通过求解这些约束，在约化相空间中导出了\p相似变换的哈密顿量，并在一定条件下证明了该哈密顿量的最终形式不含任何线性动量，且自下而上有界.
英文摘要：
The Ostrogradski ghost problem that appears in higher derivative theories containing constraints has been considered here. Specifically we have considered systems where only the second class constraints appear. For these kind of systems, it is not possible to gauge away the linear momenta that cause the instability. To solve this issue, we have considered the PT symmetric aspects of the theory. As an example we have considered the Galilean invariant Chern Simons model in $2+1$ D which is a purely second class system. By solving the constraints, in the reduced phasespace, we have derived the \p similarity transformed Hamiltonian and putting conditions on we found that the final form of the Hamiltonian is free from any linear momenta and bounded from below.
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