Pole skipping with finite-coupling corrections

Pole skipping with finite-coupling corrections
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DOI:
10.1103/physrevd.100.126012
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发表时间:
2019-09
期刊:
影响因子:
5
通讯作者:
Makoto Natsuume;T. Okamura
Makoto Natsuume;T. Okamura
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Makoto Natsuume;T. Okamura

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近年来,利用AdS/CFT方法证明了复动量空间中许多绿色函数在特殊点处不唯一.这种现象类似于全息混沌中的跳极现象,其特殊点通常位于ωn=-(2πT)ni处,并具有适当的复波数qn值。我们研究了特殊点的有限耦合修正。作为例子,我们考虑引力摄动和四维麦克斯韦摄动的四阶导数修正。当ωn未校正时,qn在有限耦合下被校正。某些特殊点在高阶导数耦合的特定值处消失。麦克斯韦标量模和矢量模的特殊点位置通过电磁对偶性相互关联。
Recently, it has been shown that many Green’s functions are not unique at special points in complex momentum space using AdS/CFT. This phenomenon is similar to the pole skipping in holographic chaos, and the special points are typically located at ωn=-(2πT)ni with appropriate values of complex wave number qn. We study finite-coupling corrections to special points. As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations. While ωn is uncorrected, qn is corrected at finite coupling. Some special points disappear at particular values of higher-derivative couplings. Special point locations of the Maxwell scalar and vector modes are related to each other by the electromagnetic duality.