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首页> 外文期刊>The journal of high energy physics >Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes
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Adding new branches to the “Christmas tree” of the quasinormal spectrum of black branes

机译：将新分支添加到黑色扁平的“圣诞树”中的“圣诞树”

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A bstract 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.
机译：全息内的Bstract，黑色斑块的Quasinormal谱与双量子场理论的延迟有限温度相关函数的极限，在无限数量的颜色中的无限数量的自由度的极限中。对于渐近的抗锯齿背景，光谱在复频平面中形成特征图案，以俗称称为“圣诞树”。在无限耦合下，树只有一对分支。在大而有限的耦合下，该分支变得更加密集并朝向实轴升高，这与预期形成在零耦合的极限中切割的分支。然而，已知在零耦合时，相应的相关器始终没有，但是通过与Matsubara频率成比例的间隔分隔的多个分支切割。这表明在双重重力中存在“圣诞树”光谱的多个分支。在本说明中，我们在数值上显示了这些频谱的其他分支如何从具有更高衍生术语的双重重力动作中出现。然而，这种现象似乎是稳健的，但是，再现相关器的预期弱耦合行为定量地意味着存在于双重重力理论的更高衍生术语的系数上的某些约束的存在。

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