Graviton propagator, renormalization scale and black-hole like states

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.

13pages, 12 figures

References in corpus (4)

• Ten years of the Analytic Perturbation Theory in QCD
• Bound state approach to the QCD coupling at low energy scales
• Bjorken Sum Rule and pQCD frontier on the move
• The Lightest of Black Holes

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