Quantum correlator outside a Schwarzschild black hole

TL;DR

This paper calculates the quantum correlator for a scalar field around a Schwarzschild black hole in different quantum states, revealing a universal singularity structure and state-dependent correlations.

Contribution

It provides the first detailed analysis of the quantum correlator's singularity structure and state-dependent behavior in Schwarzschild spacetime.

Findings

Correlator exhibits a state-independent fourfold singularity structure.

Different quantum states show distinct correlation patterns.

Results enhance understanding of quantum fields near black holes.

Abstract

We calculate the quantum correlator in Schwarzschild black hole space-time. We perform the calculation for a scalar field in three different quantum states: Boulware, Unruh and Hartle-Hawking, and for points along a timelike circular geodesic. The results show that the correlator presents a global fourfold singularity structure, which is state-independent. Our results also show the different correlations in the three different quantum states arising in-between the singularities.