论文标题
来自2-D JT重力的4-D爱因斯坦重力的接近水龙头量子动力学
Near-Horizon Quantum Dynamics of 4-d Einstein Gravity from 2-d JT Gravity
论文作者
论文摘要
我们研究了4-D爱因斯坦 - 希尔伯特作用的LightCone指标，这是通过尺寸减小到Jackiw-Teitelboim（JT）重力的。特别是，我们表明，在爱因斯坦重力中，可以通过有效的二维Dilaton理论来描述平坦Minkowski时空中一个区域的因果发展。这使我们能够利用JT动作的已知溶液，在该溶液中，由于度量波动，地平线的时空位置具有量子不确定性。然后可以与原始的4-D光锥坐标直接相关，从而使我们能够计算光子时期的不确定性从平坦的4-D Minkowski空间中的因果钻石到尖端。我们发现，普朗克和红外量表（后者是由因果钻石的尺寸设置的）输入光子旅行时间的不确定性，从而可以观察到到达时间中的量子波动很大。
We study quantum fluctuations in the lightcone metric of the 4-d Einstein-Hilbert action via dimensional reduction to Jackiw-Teitelboim (JT) gravity. In particular, we show that, in Einstein gravity, the causal development of a region in flat Minkowski spacetime, near a horizon defined by light sheets, can be described by an effective two-dimensional dilaton theory. This enables us to make use of known solutions of the JT action, where the spacetime position of a horizon has quantum uncertainty due to metric fluctuations. This quantum uncertainty can be then directly related to the original 4-d light cone coordinates, allowing us to compute the uncertainty in the time of a photon to travel from tip-to-tip of a causal diamond in flat 4-d Minkowski space. We find that both Planck and infrared scales (with the latter set by the size of the causal diamond) enter the uncertainty in photon travel time, such that the quantum fluctuation in the arrival time may be observably large.
