论文标题

Wigner在黑洞地平线附近遇到了山蹄

Wigner meets 't Hooft near the black hole horizon

论文作者

Johnson, Clifford V.

论文摘要

最近关于欧几里得量子重力,黑洞热力学和全息原理的工作将随机矩阵模型的回归作为一种强大的工具。它解释了他们如何允许对物理学的研究,远远超出了扰动的扩张。实际上,一种完全非扰动的治疗自然会结合熟悉的方法,将所有拓扑的平滑几何形状求和与表征哈密顿式典型特性的统计方法相结合。值得注意的是,这导致了对量子重力的基础微骨的显式发掘,该量子具有用于大型黑洞的低温动力学的应用。

Recent work on Euclidean quantum gravity, black hole thermodynamics, and the holographic principle has seen the return of random matrix models as a powerful tool. It is explained how they allow for the study of the physics well beyond the perturbative expansion. In fact, a fully non-perturbative treatment naturally unites the familiar approach of summing over smooth geometries of all topologies with the statistical approach to characterizing the typical properties of a Hamiltonian. Remarkably, this leads to an explicit excavation of the underlying microstates of quantum gravity that has applications to the low temperature dynamics of a large class of black holes.

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