论文标题
黑洞散射的工具箱
A toolbox for black hole scattering
论文作者
论文摘要
霍金的自由田野理论有望在页面时间后分解。在以前的工作中，我们已经表明，这种崩溃的主要动态原因是地平线的重力波动的主导地位，介导散射过程。在本文中，我们提供了一个用于此类“黑洞散射”计算的工具箱。该工具箱包括在地平线附近的重力传播器的显式表达式，以角动量为基础，用于所有奇偶校验的所有角动量模式，领先的相互作用规则，以及最重要的是，根据标量理论的重写，具有一个有趣的四个vertex的标量理论。我们演示了这种重写如何大幅度减少在原始公式中计算的图表数量。最后，也许最引人注目的是，我们观察到，黑洞熵似乎是从该理论中主要的$ 2 \ rightarrow2n $振幅的外部腿的多样性中出现的。
Hawking's free field theory is expected to break down after Page time. In previous work, we have shown that a primary dynamical reason for this breakdown is the dominance of graviton fluctuations of the horizon that mediate scattering processes. In this article, we present a toolbox for such `black hole scattering' computations. The toolbox comprises of explicit expressions for the graviton propagator near the horizon in an angular momentum basis for all angular momentum modes of either parity, the leading interaction rules, and most importantly a rewriting of the theory in terms of a scalar theory with an interesting four-vertex. We demonstrate how this rewriting drastically reduces the number of diagrams to be calculated in the original formulation. Finally and perhaps most remarkably, we observe that the black hole entropy appears to emerge from the multiplicity of external legs of the dominant $2\rightarrow2N$ amplitudes in this theory.
