Graviton propagator, renormalization scale and black-hole like states

Understand

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.