Graviton propagator, renormalization scale and black-hole like states

TL;DR

This paper investigates the complex structure of the graviton propagator, revealing an infinite spectrum of poles that suggest black-hole-like states, with their stability influenced by the renormalization scale.

Contribution

It provides a detailed analysis of the graviton propagator's analytic structure, highlighting the potential existence of black-hole precursors and their dependence on the renormalization scale.

Findings

Infinite poles with positive mass in the propagator spectrum

Poles exhibit both positive and negative effective widths

Stability of black-hole precursors depends on the normalization point scale

Abstract

We study the analytic structure of the resummed graviton propagator, inspired by the possible existence of black hole precursors in its spectrum. We find an infinite number of poles with positive mass, but both positive and negative effective width, and studied their asymptotic behaviour in the infinite sheet Riemann surface. We find that the stability of these precursors depend crucially on the value of the normalisation point scale.