Stability of de Sitter spacetime against infrared quantum scalar field fluctuations

Abstract

We study the backreaction of superhorizon fluctuations of a light quantum scalar field on a classical de Sitter geometry by means of the Wilsonian renormalisation group. This allows us to treat the gravitationally amplified fluctuations in a nonperturbative manner and to analytically follow the induced renormalisation flow of the spacetime curvature as long wavelength modes are progressively integrated out. Unbounded loop corrections in the deep infrared are eventually screened by nonperturbative effects which stabilise the geometry.

arXiv comment4 pages, 1 figure

References in corpus (42)

• Cosmological Constant - the Weight of the Vacuum
• Exact evolution equation for the effective potential
• Quantum Contributions to Cosmological Correlations
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• On the Back Reaction Problem for Gravitational Perturbations
• De Sitter Space and Eternity
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Quantum Gravitational Inflation
• On Loops in Inflation
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Decay of Vacuum Energy
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Breakdown of Semiclassical Methods in de Sitter Space
• Infrared Sensitivity of Unstable Vacua
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
• On the Instability of Global de Sitter Space to Particle Creation
• One Loop Graviton Self-Energy In A Locally De Sitter Background
• Quantum Vacuum Instability of 'Eternal' de Sitter Space
• A Simple Method for One-Loop Renormalization in Curved Space-Time
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Renormalization group flow and symmetry restoration in de Sitter space
• Infrared dynamics of the massive ${\varphi }^4$ theory on de Sitter space
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• Exact RG Flow in an Expanding Universe and Screening of the Cosmological Constant
• On the Perturbative Stability of Quantum Field Theories in de Sitter Space
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• A Gravitational Mechanism for Cosmological Screening
• Decay of the de Sitter Vacuum
• Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation Theory
• Cosmological Backreaction for a Test Field Observer in a Chaotic Inflationary Model
• Physical meaning and consequences of the loop IR divergences in global dS
• De Sitter Stability and Coarse Graining
• Stochastic dark energy from inflationary quantum fluctuations
• Functional renormalization group in stochastic inflation
• Quantum backreaction in evolving FLRW spacetimes
• Invariant Measure of the One Loop Quantum Gravitational Back-Reaction on Inflation
• Renormalization group approach to scalar quantum electrodynamics on de Sitter

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