论文标题
从杆子滑动的临界点上的准模式和边界的限制
Constraints on quasinormal modes and bounds for critical points from pole-skipping
论文作者
论文摘要
我们考虑了全息态热状态，并由标量操作员扰动它，其相关的实时绿色功能仅损失了极点。这些间隙的极点对应于施瓦茨柴尔德黑勃朗尼周围大规模标量扰动的非流动力准确模式。当标量的质量和双重操作员尺寸变化时，总体上出现了杆子的点，临界点和准模式之间的关系。首先，这种新颖的分析揭示了一种模式在准模式的塔中的位置与限制其在想象中的分散性关系的杆脱水点的数量之间的关系。其次，我们首次考虑了衍生物扩展的收敛性，涉及散布的准模式。这些收敛半径被所有杆式的集合从上方界定。此外，两个不同类别的关键点之间的过渡发生在同层维度的特定值中，这意味着在这两个类别之一中，关键点和杆子钉点之间的密切关系。我们以数字显示，对于向量和张量运算符的间隙模式，我们的所有结果也是如此。
We consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green's function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-skipping points constraining its dispersion relation at imaginary momenta. Second, for the first time, we consider the radii of convergence of the derivative expansions about the gapped quasinormal modes. These convergence radii turn out to be bounded from above by the set of all pole-skipping points. Furthermore, a transition between two distinct classes of critical points occurs at a particular value for the conformal dimension, implying close relations between critical points and pole-skipping points in one of those two classes. We show numerically that all of our results are also true for gapped modes of vector and tensor operators.
