De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety

TL;DR

This paper investigates the UV behavior of quantum gravity in de Sitter spacetime using the asymptotic safety approach, revealing evidence of a UV fixed point and emphasizing the importance of state dependence and gauge choices.

Contribution

It provides the first complete analysis of Einstein-Hilbert flow equations in de Sitter spacetime within the asymptotic safety framework, including a new graviton propagator for general gauges.

Findings

Evidence of a UV fixed point in common gauges

Analysis of gauge and renormalization parameter dependence

Advancement in understanding quantum gravity in cosmological spacetimes

Abstract

Recent technical and conceptual advancements in the asymptotic safety approach to quantum gravity have enabled studies of the UV completion of Lorentzian Einstein gravity, emphasizing the role of the state dependence. We present here the first complete investigation of the flow equations of the Einstein-Hilbert action within a cosmological spacetime, namely de Sitter spacetime. Using the newly derived graviton propagator for general gauges and masses in de Sitter spacetime, we analyze the dependence on the gauge and on finite renormalization parameters. Our results provide evidence of a UV fixed point for the most commonly used gauges.