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arXiv · 2011.10093

Pole-skipping and zero temperature

Makoto Natsuume·Takashi Okamura
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Abstract

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.

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Makoto Natsuume, Takashi Okamura. 2020-11-19. Pole-skipping and zero temperature. https://doi.org/10.1103/physrevd.103.066017

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