论文标题
多种植黑孔中全息复杂性的换回效果
Switchback effect of holographic complexity in multiple-horizon black holes
论文作者
论文摘要
在本文中，我们使用“复杂性等于动作”（CA）猜想来探索具有有限的$ n $和有限耦合效果的强耦合量子场理论中的换回效应。从全息图的角度来看，这相当于评估配备有光冲击波的VAIDYA几何形状中的CA复杂性，以获得更高的曲率引力理论。基于Iyer和Wald的Noether指控形式主义，我们获得了在小时和大的近似值中形成复杂性的斜率。通过电路类比，我们表明我们的结果与量子系统的换回效果一致。这些结果表明，折返效果是固定黑洞中CA复杂性的一般特征，其存在与显式重力理论以及时空背景无关。从AD/CFT的角度来看，这也意味着换回效应是在强耦合量子场系统中具有有限$ n $和有限耦合效果的Thermofield双状态的一般特征。此外，我们还说明，与后期的复杂性增长率不同，反术在研究折返效应中起着重要作用。
In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is equivalent to evaluating the CA complexity in a Vaidya geometry equipped with a light shockwave for a higher curvature gravitational theory. Based on the Noether charge formalism of Iyer and Wald, we obtain the slope of the complexity of formation in the small and large time approximations. By circuit analogy, we show that our results concur with the switchback effect of the quantum system. These results show that the switchback effect is a general feature of the CA complexity in stationary black holes and its existence is independent of the explicit gravitational theory as well as spacetime background. From the viewpoint of AdS/CFT, this also implies that the switchback effect is a general feature of the thermofield double state in the strongly-coupled quantum field systems with finite $N$ and finite coupling effects. Moreover, we also illustrate that unlike the late-time complexity growth rate, the counterterm plays an important role in the study of the switchback effect.
