论文标题
二维的真空过渡及其全息解释
Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
论文作者
论文摘要
我们通过Coleman-De Luccia（CDL）和Brown-Teitelboim（BT）以及Fischler，Morgan和Polchinski（FMP）的欧几里得方法计算2D真空过渡的幅度。将三种方法之间的相似性和差异与它们各自的4D实现进行了比较。对于CDL，可以将总反弹表示为相对熵的乘积，而对于BT和FMP的情况，可以将过渡速率写为两个通用熵的差异，最终使需要避免诉诸详细的平衡。通过全息论证，我们表明欧几里得方法以及没有非超级黑孔的洛伦兹案例提供了广告$ _2 $/cft $ _1 \ subset $ _1 $ _3 $ _3 $ _3 $/CFT $ _2 $ _2 $的示例。在设置对应于AD $ _2 $/cft $ _1 \ not \ subset $ ads $ _3 $ _3 $/cft $ _2 $的岛上，这种嵌入是不可能的。我们发现，每当存在一个岛时，就有可能。
We calculate amplitudes for 2D vacuum transitions by means of the Euclidean methods of Coleman-De Luccia (CDL) and Brown-Teitelboim (BT), as well as the Hamiltonian formalism of Fischler, Morgan and Polchinski (FMP). The resulting similarities and differences in between the three approaches are compared with their respective 4D realisations. For CDL, the total bounce can be expressed as the product of relative entropies, whereas, for the case of BT and FMP, the transition rate can be written as the difference of two generalised entropies, ultimately enabling to circumvent the need to resort to detailed balance. By means of holographic arguments, we show that the Euclidean methods, as well as the Lorentzian cases without non-extremal black holes, provide examples of an AdS$_2$/CFT$_1 \subset $ AdS$_3$/CFT$_2$ correspondence. Such embedding is not possible in the presence of islands for which the setup corresponds to AdS$_2$/CFT$_1 \not\subset $ AdS$_3$/CFT$_2$. We find that whenever an island is present, up-tunnelling is possible.
