论文标题

撑杆和零温度

Pole-skipping and zero temperature

论文作者

Natsuume, Makoto, Okamura, Takashi

论文摘要

我们研究了标量延迟绿色的功能在旋转BTZ黑洞背景中的杆杆的现象。在静态情况下,杆子的点通常位于负假想的Matsubara频率$ω= - (2πt)ni $,具有适当的复杂波数$ q $的值。但是,在$(1+1)$ - 尺寸CFT中,可以独立引入左移动和右移动部门的温度。结果,杆子的点$ω$取决于旋转背景中的左右温度。在极限上,一般不会发生杆子。但是,在特殊情况下,即使在极端极限内也会出现杆子,而杆子的点是由右Matsubara频率给出的。

We study the pole-skipping phenomenon of the scalar retarded Green's function in the rotating BTZ black hole background. In the static case, the pole-skipping points are typically located at negative imaginary Matsubara frequencies $ω=-(2πT)ni$ with appropriate values of complex wave number $q$. But, in a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently. As a result, the pole-skipping points $ω$ depend both on left and right temperatures in the rotating background. In the extreme limit, the pole-skipping does not occur in general. But in a special case, the pole-skipping does occur even in the extreme limit, and the pole-skipping points are given by right Matsubara frequencies.

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