论文标题
CFT $ _2 $中的混乱和杆跳过
Chaos and pole skipping in CFT$_2$
论文作者
论文摘要
最近的工作表明，量子混乱与能量密度相关性（称为杆跳过）之间存在着有趣的关系。我们通过研究圆环上的热能密度延迟的两点函数，以有限大小的空间圆圈的二维形式磁场理论研究这种关系。我们发现，在复杂频率平面中跳过的位置$ω_* =Iλ$由中央电荷确定，应力能量单点函数$ \ langle t \ rangle $ t \ rangle $。此外，我们在$ C> 1 $ compact上找到了$λ$的绑定，统一CFT $ _2 $ s与混乱界的相同，$λ\ leq2πt$。对于在双鹰式页面过渡温度以上的所有温度下，该界限在稀疏的光谱中以稀疏的光谱饱和，均为稀疏的光谱。
Recent work has suggested an intriguing relation between quantum chaos and energy density correlations, known as pole skipping. We investigate this relationship in two dimensional conformal field theories on a finite size spatial circle by studying the thermal energy density retarded two-point function on a torus. We find that the location $ω_* = i λ$ of pole skipping in the complex frequency plane is determined by the central charge and the stress energy one-point function $\langle T\rangle$ on the torus. In addition, we find a bound on $λ$ in $c>1$ compact, unitary CFT$_2$s identical to the chaos bound, $λ\leq 2πT$. This bound is saturated in large $c$ CFT$_2$s with a sparse light spectrum, as quantified by arXiv:1405.5137, for all temperatures above the dual Hawking-Page transition temperature.
