论文标题
黑洞地平线上的量子重力
Quantum gravity on the black hole horizon
论文作者
论文摘要
我们以部分波的基础研究在黑洞地平线上进行散射，其影响参数是Schwarzschild半径或更小的。这类似于出现量子重力效应的强重力状态。散射由地平线上交换的无限数量的虚拟引力来控制。值得注意的是，它们都可以在$ \ hbar $和$γ\ sim m_ {pl}/m_ {bh} $中非扰动。这些结果概括了从研究引力反应获得的结果。与平坦空间中的艾科纳尔计算不同，碰撞的相关质量能量中心不一定是普朗克的。相反，它很容易满足，对于半古典黑洞，$ s \ggγ^2 m^2_ {pl} $。该计算为量子黑洞的散射矩阵方法提供了进一步的支持，并且是该方法的第二定量概括。
We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The scattering is governed by an infinite number of virtual gravitons exchanged on the horizon. Remarkably, they can all be summed non-perturbatively in $\hbar$ and $γ\sim M_{Pl}/M_{BH}$. These results generalise those obtained from studying gravitational backreaction. Unlike in the eikonal calculations in flat space, the relevant centre of mass energy of the collisions is not necessarily Planckian; instead it is easily satisfied, $s \gg γ^2 M^2_{Pl}$, for semi-classical black holes. The calculation lends further support to the scattering matrix approach to quantum black holes, and is a second-quantised generalisation of the same.
