防火墙作为量子几何不一致截断的人工制品
Firewalls as artefacts of inconsistent truncations of quantum geometries
摘要：
在本文中，我们认为，防火墙只是一个不一致的截断的非微扰效应，unitarized半经典黑洞的表现。也就是说，我们表明，一个天真的截断量子修正的霍金谱在顺序${\cal O}(e^{-S})$，不可避免地导致一个“本地化”的发散能量密度附近的黑洞的地平线。然而，在同样的近似下，远处的观察者只能看到离散的光谱，并得出结论，幺正性是通过${\cal O}(e^{-S})$效应实现的。这是由于这样的事实，相反，正确的量子修正霍金频谱去像${\cal O}( g^{tt} e^{-S})$。因此，在远离视界的地方，量子修正{$g^{tt}\approx 1$}是微扰的，而在靠近视界的地方，量子修正{\it}是发散的，这里$g^{tt}\rightarrow \infty$。然而，这些“修正”很好地重新求和，使得相关函数在可能的黑洞视界上是平滑的。因此，我们得出结论，防火墙的出现只是一个信号，打破了半经典近似的页面时间，即使是大黑洞。
英文摘要：
In this paper we argue that a firewall is simply a manifestation of an inconsistent truncation of non-perturbative effects that unitarize the semiclassical black hole. Namely, we show that a naive truncation of quantum corrections to the Hawking spectrum at order ${\cal O}(e^{-S})$, inexorably leads to a "localised'' divergent energy density near the black hole horizon. Nevertheless, in the same approximation, a distant observer only sees a discretised spectrum and concludes that unitarity is achieved by ${\cal O}(e^{-S})$ effects. This is due to the fact that instead, the correct quantum corrections to the Hawking spectrum go like ${\cal O}( g^{tt} e^{-S})$. Therefore, while at a distance far away from the horizon, where $g^{tt}\approx 1$, quantum corrections {\it are} perturbative, they {\it do} diverge close to the horizon, where $g^{tt}\rightarrow \infty$. Nevertheless, these "corrections" nicely re-sum so that correlations functions are smooth at the would-be black hole horizon. Thus, we conclude that the appearance of firewalls is just a signal of the breaking of the semiclassical approximation at the Page time, even for large black holes.
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