AdS2量子临界点附近的流体动力学扩散及其击穿

D. Areán, R. Davison, B. Goutéraux, Kenta Suzuki
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引用次数: 19

摘要

流体力学在足够长的时间和波长上提供了相互作用量子场论的普遍描述,但在依赖于理论微观细节的尺度上却被打破了。我们利用量规-重力对偶研究了具有AdS $_2$视界的两种低温对偶黑洞的扩散流体力学击穿。我们发现,击穿的特征是迟滞格林函数的扩散极与几何形状AdS $_2$区域相关的极之间的碰撞,因此局部平衡时间由理论的红外性质确定。碰撞时的频率和波矢量的绝对值($\omega_{eq}$和$k_{eq}$)通过$D=\omega_{eq}/k_{eq}^2$提供了所有低温扩散率$D$的自然特征,其中$\omega_{eq}=2\pi\Delta T$由温度$T$和红外算子的缩放维$\Delta$设置。我们证实,在强相互作用的极限下,SYK链模型也满足这些关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hydrodynamic Diffusion and Its Breakdown near AdS2 Quantum Critical Points
Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. We use gauge-gravity duality to investigate the breakdown of diffusive hydrodynamics in two low temperature states dual to black holes with AdS$_2$ horizons. We find that the breakdown is characterized by a collision between the diffusive pole of the retarded Green's function with a pole associated to the AdS$_2$ region of the geometry, such that the local equilibration time is set by infra-red properties of the theory. The absolute values of the frequency and wavevector at the collision ($\omega_{eq}$ and $k_{eq}$) provide a natural characterization of all the low temperature diffusivities $D$ of the states via $D=\omega_{eq}/k_{eq}^2$ where $\omega_{eq}=2\pi\Delta T$ is set by the temperature $T$ and the scaling dimension $\Delta$ of an infra-red operator. We confirm that these relations are also satisfied in an SYK chain model in the limit of strong interactions.
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