Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes
Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes
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DOI：
10.1007/jhep04(2019)080
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发表时间：
2018-12
影响因子：
5.4
通讯作者：
S. Grozdanov;A. Starinets
中科院分区：
文献类型：
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作者：
S. Grozdanov;A. Starinets
在全息术中，黑膜的拟正规谱与对偶量子场论的延迟有限温度关联函数的极点在无限个相关自由度（如颜色）的限制下重合。对于渐近antide Sitter背景，频谱在复频率平面中形成特征图案，通俗地称为“圣诞树”。在无限耦合时，树只有一对分支。在大但有限的耦合下，分支变得更密集，并朝着真实的轴向上提升，这与在零耦合极限下形成分支切割的预期一致。然而，已知在零耦合处，对应的双稳器一般具有由与松原频率成比例的间隔分开的多个分支切口而不是一个。这表明在双引力中存在着多个分支的“圣诞树”谱。在这篇文章中，我们用数值方法说明了这些谱的附加分支是如何从具有高阶导数项的对偶引力作用量中产生的。这一现象似乎是强大的，然而，再现预期的弱耦合行为的reacators定量意味着存在某些约束的系数的对偶引力理论的高导数项。
In holography, quasinormal spectra of black branes coincide with the poles of retarded finite-temperature correlation functions of a dual quantum field theory in the limit of infinite number of relevant degrees of freedom such as colours. For asymptotically antide Sitter backgrounds, the spectra form a characteristic pattern in the complex frequency plane, colloquially known as the “Christmas tree”. At infinite coupling, the tree has only one pair of branches. At large but finite coupling, the branches become more dense and lift up towards the real axis, consistent with the expectation of forming a branch cut in the limit of zero coupling. However, it is known that at zero coupling, the corresponding correlators generically have not one but multiple branch cuts separated by intervals proportional to the Matsubara frequency. This suggests the existence of multiple branches of the “Christmas tree” spectrum in dual gravity. In this note, we show numerically how these additional branches of the spectrum can emerge from the dual gravitational action with higher-derivative terms. This phenomenon appears to be robust, yet, reproducing the expected weak coupling behaviour of the correlators quantitatively implies the existence of certain constraints on the coefficients of the higher-derivative terms of the dual gravity theory.