有限 $G_N$ 下反弹奇点的命运
Fate of Bouncing Singularities at Finite $G_N$
- Simons Center for Geometry and Physics, Stony Brook University（石溪大学西蒙斯几何与物理中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文证明在有限牛顿常数下，热学两点函数引力近似中的反弹奇点消失，通过扩展共形场论解析性质至第二叶，并给出关联函数振幅的两个上界，探讨对黑洞奇点的影响。
AI中文摘要：
热学两点函数的引力近似可以发展出一个与到达黑洞奇点的轨迹相关的复时间奇点。我们证明，在有限 $G_N$ 下，相应的奇点不存在。这是通过将共形场论解析性质扩展到第二叶（以及万有覆盖）来实现的。我们还通过某些有限部分和，以及在一个具有非平凡拓扑的流形（其中两个热学几何被粘合）上的某个配分函数，对可能奇点处的关联函数振幅给出了两个不同的上界。我们讨论了这对黑洞奇点的可能影响。
英文摘要：
The gravity approximation to a thermal two-point function can develop a complex-time singularity associated with a trajectory that reaches the black-hole singularity. We show that the corresponding singularity is absent at finite $G_N$. This is done by extending Conformal Field Theory analyticity properties to the second sheet (and to the universal cover). We also put two different upper bounds on the amplitude of the correlator at the would-be singularity, by certain finite partial sums, and by a certain partition function on a manifold with nontrivial topology, where two thermal geometries are glued. We discuss the possible implications for the black hole singularity.
