# Semiclassical correlators in Jackiw-Teitelboim gravity

## TL;DR

This paper calculates semiclassical two-point and four-point correlators in Jackiw-Teitelboim gravity, revealing their decay behavior and finite limits, by introducing a massive particle and accounting for gravitational backreaction.

## Contribution

It introduces a method to compute correlators in JT gravity using a massive particle with backreaction, providing new insights into their long-time behavior.

## Key findings

- Two-point function approaches a finite limit at large distances.
- Thermal two-point function decays exponentially at long times.
- Four-point function also approaches an exponentially small value after decay.

## Abstract

In the semiclassical approximation to JT gravity, we find two-point and four-point correlators of heavy operators. To do so, we introduce a massive particle in the bulk and compute its action with gravitational backreaction. In Euclidean signature, the two-point function has a finite limit at large distances. In real time, we find that the thermal two-point function approaches an exponentially small value $\sim \exp(-N)$ at long time. We also find that after a period of exponential decay, the out of time ordered four-point function approaches an exponentially small value as well.