Local higher-derivative corrections to the Einstein-Hilbert action yield sub-leading corrections to the Bekenstein-Hawking area law. Here we show that if the quantum effective action comprises a certain class of infrared non-localities, the entropy of large black holes generally diverges to either positive or negative infinity. In such theories, large spherically symmetric black holes would be either highly chaotic or thermodynamically impossible, respectively. In turn, this puts strong constraints on the Laurent expansion of the form factors in the effective action.

中文翻译：

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黑洞熵与量子红外非局域性的发散


对爱因斯坦-希尔伯特作用的局部高导数修正产生对贝肯斯坦-霍金面积定律的次领先修正。在这里，我们证明，如果量子有效作用包含某一类红外非局域性，那么大黑洞的熵通常会发散到正无穷大或负无穷大。在这样的理论中，大型球对称黑洞要么是高度混沌的，要么是热力学上不可能的。反过来，这又对洛朗展开形式因素的有效作用产生了强烈的限制。