Pole skipping and zero temperature
Pole skipping and zero temperature
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DOI：
10.1103/physrevd.103.066017
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发表时间：
2020-11
影响因子：
5
通讯作者：
Makoto Natsuume;T. Okamura
中科院分区：
文献类型：
--
作者：
Makoto Natsuume;T. Okamura
研究了旋转BTZ黑洞背景中标量延迟格林函数的跳极现象。在静态情况下，跳极点通常位于具有适当复波数$q$的负虚Matsubara频率$\omega=-(2\pi T)ni$处。但是，在$(1+1)$维CFT中，可以独立地引入左移动扇区和右移动扇区的温度。因此，跳极点$\omega$取决于旋转背景中的左右温度。在极限情况下，一般不会发生跳杆现象。但在一种特殊情况下，即使在极限情况下也会发生极点跳跃，并且跳极点由右松原频率给出。
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 $\omega=-(2\pi T)ni$ 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 $\omega$ 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.