标题： 近黑洞关联函数的量子引力修正估计 显示英文标题

标题： Estimating Quantum Gravity Corrections to Correlators near Black Holes

摘要： 我们分析了黑洞视界附近的量子引力效应的大小。 通过考虑渐近AdS时空中的黑洞，我们可以利用“量子偏差”来估计半经典分析中的量子引力修正的大小。 我们发现，在典型的纯态中，关联函数的修正通常为exp(-S/2)量级。 关联函数的幅度和时间依赖性与之前与谱形因子相关的结果不同，后者在热态中估计了关联函数。 我们的结果对一些预测黑洞附近关联函数半经典计算有显著修正的提议（如非暴力幺正化和一些火球版本）进行了严格限制。 我们指出一个可能的漏洞：我们的结果依赖于一个标准结果，即对于黑洞外部的小扰动，体重建是状态无关的。 显示英文摘要

摘要： We analyze the size of quantum gravity effects near black hole horizons. By considering black holes in asymptotically AdS spacetime, we can make use of the "quantum deviation" to estimate the size of quantum gravity corrections to the semiclassical analysis. We find that, in a typical pure state, corrections to correlation functions are typically of order exp(-S/2). Both the magnitude and time dependence of the correlator differ from previous results related to the spectral form factor, which estimated the correlator in a thermal state. Our results severely constrain proposals, such as non-violent unitarization and some versions of fuzzballs, that predict significant corrections to the semiclassical computation of correlation functions near black holes. We point out one possible loophole: our results rely on the standard result that bulk reconstruction is state independent for small perturbations outside the black hole.