标题： 因果三点函数和AdS/CFT中的非线性二阶流体动力学系数 显示英文标题

标题： Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT

摘要： 在$\mathcal{N}=4$ SYM 的背景下，我们通过基于完全迟滞三点函数的库博公式，计算非线性二阶流体力学系数$\lambda_3$的有限 't Hooft 耦合$\lambda$修正，使用 AdS/CFT。 尽管$\lambda_3$在无限 't Hooft 耦合极限下已知为零，但我们发现有限的$\lambda$修正是非零的。 我们还提出了一组用于非线性系数$\lambda_{1,2,3}$的库博公式，这比最近其他地方出现的公式更为方便。 显示英文摘要

摘要： In the context of $\mathcal{N}=4$ SYM, we compute the finite 't Hooft coupling $\lambda$ correction to the non-linear second-order hydrodynamic coefficient $\lambda_3$ from a Kubo formula based on fully retarded three-point functions using AdS/CFT. Although $\lambda_3$ is known to vanish in the infinite 't Hooft coupling limit, we find that the finite $\lambda$ correction is non-zero. We also present a set of Kubo formulae for the non-linear coefficients $\lambda_{1,2,3}$, which is more convenient than the one that has appeared recently elsewhere.