arXiv 0908.22702009-08hep-thgr-qc

大N强耦合场论中的霍金辐射

Hawking radiation in large N strongly-coupled field theories

Veronika E. Hubeny, Donald Marolf, Mukund Rangamani

备注：: 35 pages, 6 figures. v2: typos corrected. added refs v3: minor clarifications
DOI：: 10.1088/0264-9381/27/9/095015

摘要：

我们考虑黑洞背景上大N时的强耦合场论。在足够高的霍金温度T_H下，人们预期会有一个阶段，其中黑洞与非受限等离子体处于平衡状态。我们探讨这一阶段的背景下，广告/CFT的对应关系，并认为可能会导致两种可能的行为。在给定的霍金温度T_H下，大黑洞背景上的场论将与等离子体强耦合，并与具有单连通视界的新体时空对偶，我们称之为{ \it黑漏斗}。我们为不同类别的场论黑洞构造了低时空维的黑漏斗的例子。在这种情况下，扰动平衡态会导致场论与黑洞进行热交换，其速率是通过去限制等离子体进行传导的典型速率。相反，我们认为，由于等离子体激发的物理尺寸有限，较小的黑洞将只有微弱的耦合到场论激发。这种情况是双重的散装解决方案，其中包含两个断开的地平线，仍然有待建设。在这里，扰动导致热交换在一个典型的水平上的限制相，即使当T_H仍然远远高于任何解除限制过渡。至少在大N和强耦合下，这两种行为被急剧的转变分开。我们的研究结果还表明，膜世界黑洞的种类比迄今预期的要丰富。

英文摘要：

We consider strongly coupled field theories at large N on black hole backgrounds. At sufficiently high Hawking temperature T_H, one expects a phase where the black hole is in equilibrium with a deconfined plasma. We explore this phase in the context of the AdS/CFT correspondence, and argue that two possible behaviors may result. At a given Hawking temperature T_H, field theories on large black hole backgrounds will couple strongly to the plasma and will be dual to novel bulk spacetimes having a single connected horizon which we dub {\it black funnels}. We construct examples of black funnels in low spacetime dimensions for different classes of field theory black holes. In this case, perturbing the equilibrium state results in the field theory exchanging heat with the black hole at a rate typical of conduction through deconfined plasma. In contrast, we argue that due to the finite physical size of plasma excitations, smaller black holes will couple only weakly to the field theory excitations. This situation is dual to bulk solutions containing two disconnected horizons which remain to be constructed. Here perturbations lead to heat exchange at a level typical of confined phases, even when T_H remains far above any deconfinement transition. At least at large N and strong coupling, these two behaviors are separated by a sharp transition. Our results also suggest a richer class of brane-world black holes than hitherto anticipated.

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摘要：

英文摘要：

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