标题： 通过AdS/CFT从三点应力张量关联函数得到的二阶流体动力学系数 显示英文标题

标题： Second order hydrodynamic coefficients from 3-point stress tensor correlators via AdS/CFT

摘要： 我们研究四维共形场论中的二阶相对论粘性流体力学。 我们推导了以三点应力张量迟滞关联函数表示的二阶流体动力学系数的库博型关系。 对于强耦合且温度有限的N=4超杨-米尔斯理论，我们利用AdS/CFT，通过在AdS-施瓦茨希尔德背景中计算实时三次威滕图来计算这些应力张量三点关联函数。 我们把三点关联函数在小动量展开中的一阶和二阶流体动力学系数与AdS结果进行匹配。 我们得到了与Bhattacharyya、Hubeny、Minwalla和Rangamani \cite{Bhattacharyya:2008jc}所得到的相同表达式，这些表达式乘以应力张量流体动力学展开中剪切和涡度张量的二次项。 我们的方法扩展了Baier等人 \cite{Baier:2007ix}的结果，并允许对流体动力学系数进行统一处理，这些系数是从AdS-施瓦茨希尔德背景中的二点和现在三点迟滞应力张量关联函数中提取的。 显示英文摘要

摘要： We study second order relativistic viscous hydrodynamics in 4-dimensional conformal field theories. We derive Kubo-type relations for second order hydrodynamic coefficients in terms of 3-point stress tensor retarded correlators. For N=4 super Yang-Mills theory at strong coupling and at finite temperature we compute these stress tensor 3-point correlators, using AdS/CFT, by evaluating real-time cubic Witten diagrams in the AdS-Schwarzschild background. The small momentum expansion of the 3-point correlators in terms of first and second order hydrodynamic coefficients is matched with the AdS result. We arrive at the same expressions for the hydrodynamic coefficients which multiply terms quadratic in the shear and vorticity tensors in the hydrodynamic expansion of the stress tensor as did Bhattacharyya, Hubeny, Minwalla and Rangamani \cite{Bhattacharyya:2008jc}. Our method extends the results of Baier et al \cite{Baier:2007ix}, and allows for a unified treatment of hydrodynamic coefficients, which are extracted from 2-, and now, 3-point retarded stress tensor correlators in the AdS-Schwarzschild background.