Retrieving black hole information from the main Lorentzian saddle point

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.