在黑膜拟正规谱的“圣诞树”上添加新的分支
Adding new branches to the "Christmas tree" of the quasinormal spectrum of black branes
摘要：
在全息术中，黑膜的拟正规谱与对偶量子场论的有限温度延迟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。对于渐近反德西特背景，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，分支变得更加密集，并向实轴方向提升，与零耦合极限下形成分支切割的预期一致。然而，众所周知，在零耦合时，相应的分频器一般具有由与松原频率成比例的间隔分开的不是一个而是多个分支切口。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。
英文摘要：
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 anti-de 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.
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