准量子理论中不可对角化相互作用的命运
The fate of non-diagonalizable interactions in quasidilaton theory
摘要：
它已被证明，在准对称理论的一个子类中的球对称解是稳定的对所有自由度，甚至没有表现出超光速传播。这些解可以通过关闭标量-张量相互作用来找到，而标量-张量相互作用不能通过局部变换来去除。在本文中，我们将分析扩展到准量子理论，包括不可对角化的标量张量相互作用。我们证明了Vainshtein半径内的所有解都是有问题的：大质量引力子中的标量模具有梯度不稳定性，矢量模是无限强耦合的矢量扰动，或者Vainshtein机制不存在。
英文摘要：
It has been shown that the spherically symmetric solutions in a subclass of quasidilaton theory are stable against all degrees of freedom and does not even exhibit superluminal propagation. These solutions can be found by switching off scalar-tensor interactions, which can not be removed by a local transformation. In this paper, we extend the analysis to quasidilaton theory, including non-diagonalizable scalar-tensor interactions. We show that all solutions inside the Vainshtein radius are problematic : the scalar mode in massive graviton suffers from gradient instabilities, the vector mode are infinitely strongly coupled vector perturbations, or the Vainshtein mechanism is absent.
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