Probing black holes in nonperturbative gauge theory
Probing black holes in nonperturbative gauge theory
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用非微扰规范场理论探测黑洞
DOI：
10.1103/physrevd.65.024012
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发表时间：
2001
影响因子：
5
通讯作者：
D. Lowe
中科院分区：
文献类型：
--
作者：
Norihiro Iizuka;D. Kabat;G. Lifschytz;D. Lowe
我们用一个0-膜来探测一个具有N个0-膜电荷单位的10维近极值黑洞。我们直接在对偶强耦合量子力学中工作，使用平均场方法来非微扰地描述黑洞背景。我们得到了W玻色子的质量分布，并发现轻重自由度之间有明显的分离。为了定位探针，我们引入了一个解决的时间，并整合出重模式。在一个非平凡的坐标变化后，探测器的有效势与超引力的预期一致。我们计算了探测器的熵，发现黑洞的拉伸视界在量子力学中是动态产生的，作为未破缺的U（N+1）规范对称性的热恢复。我们的量子力学分析预测了黑洞视界半径和熵之间的正确关系。
We use a 0-brane to probe a ten-dimensional near-extremal black hole with N units of 0-brane charge. We work directly in dual strongly coupled quantum mechanics, using mean-field methods to describe the black hole background nonperturbatively. We obtain the distribution of W boson masses, and find a clear separation between light and heavy degrees of freedom. To localize the probe we introduce a resolving time and integrate out the heavy modes. After a nontrivial change of coordinates, the effective potential for the probe agrees with supergravity expectations. We compute the entropy of the probe, and find that the stretched horizon of the black hole arises dynamically in quantum mechanics, as thermal restoration of unbroken $U(N+1)$ gauge symmetry. Our analysis of quantum mechanics predicts the correct relation between the horizon radius and entropy of a black hole.