Retrieving black hole information from the main Lorentzian saddle point
arXiv:2204.13046 · doi:10.1103/PhysRevD.106.066018
Abstract
One of the most striking evidences of the information loss paradox is that, according to the Hawking's calculation, the correlation functions of a test scalar field exponentially decay in time. In this paper, I argue that a judicious use of the steepest descent expansion on the classical saddle point (the Black Hole background), is enough to change this early time decay into a late time growing, in agreement with information retrieval. I will explicitly show this in the Jackiw-Teitelboim gravity. There, the so-called "ramp" in the bulk tow-point function, is analytically obtained without the need of any other subdominant configurations of the gravity path integral.
v2: 6 pages, 4 figures, clarifications and better figures added. Results unchanged