Back-reaction in massless de Sitter QFTs: holography, gravitational DBI action and f(R) gravity

Abstract

We employ gauge-gravity duality to study the backreaction effect of 4-dimensional large-$N$ quantum field theories on constant-curvature backgrounds, and in particular de Sitter space-time. The field theories considered are holographic QFTs, dual to RG flows between UV and IR CFTs. We compute the holographic QFT contribution to the gravitational effective action for 4d Einstein manifold backgrounds. We find that for a given value of the cosmological constant $\lambda$, there generically exist two backreacted constant-curvature solutions, as long as $\lambda <{\lambda }_{\text{max}}\sim M_p^2/N^2$, otherwise no such solutions exist. Moreover, the backreaction effect interpolates between that of the UV and IR CFTs. We also find that, at finite cutoff, a holographic theory always reduces the bare cosmological constant, and this is the consequence of thermodynamic properties of the partition function of holographic QFTs on de Sitter.

arXiv comment65 pages + appendices, 10 figures, executive summary in the introduction

References in corpus (45)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Quantum Contributions to Cosmological Correlations
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Locally Localized Gravity
• Twenty Years of the Weyl Anomaly
• Quantum effects can render w<-1 on cosmological scales
• What if string theory has no de Sitter vacua?
• On the Back Reaction Problem for Gravitational Perturbations
• The Energy-Momentum Tensor for Cosmological Perturbations
• The Quantum Gravitational Back-Reaction On Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Quantum Gravity Slows Inflation
• Stochastic Quantum Gravitational Inflation
• Trace anomaly driven inflation
• On Loops in Inflation
• Infrared effects in inflationary correlation functions
• Hidden supersymmetry of domain walls and cosmologies
• Holographic Renormalization of general dilaton-axion gravity
• Cosmological Dark Energy: Prospects for a Dynamical Theory
• On Resumming Inflationary Perturbations beyond One-loop
• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• The constancy of ζin single-clock Inflation at all loops
• Massless interacting quantum fields in deSitter spacetime
• Exotic RG Flows from Holography
• Holographic RG flow and the Quantum Effective Action
• Long-wavelength metric backreactions in slow-roll inflation
• From stable to unstable anomaly-induced inflation
• Holography and Brane-bulk Energy Exchange
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• One Loop Back Reaction On Chaotic Inflation
• Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
• Cosmological Perturbation Theory in Slow-Roll Spacetimes
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• Holographic RG flows on curved manifolds and quantum phase transitions
• $R^2\log R$ quantum corrections and the inflationary observables
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Holographic RG flows on curved manifolds and the $F$-theorem
• Renormalization group flow of entanglement entropy on spheres
• Invariant Measure of the One Loop Quantum Gravitational Back-Reaction on Inflation
• Effect of the Trace Anomaly on the Cosmological Constant
• An Overview of the Anomaly-Induced Inflation