Semiclassical relations and IR effects in de Sitter and slow-roll space-times

Abstract

We calculate IR divergent graviton one-loop corrections to scalar correlators in de Sitter space, and show that the leading IR contribution may be reproduced via simple semiclassical consistency relations. One can likewise use such semiclassical relations to calculate leading IR corrections to correlators in slow-roll inflation. The regulated corrections shift the tensor/scalar ratio and consistency relation of single field inflation, and non-gaussianity parameters averaged over very large distances. For inflation of sufficient duration, for example arising from a chaotic inflationary scenario, these corrections become of order unity. First-order corrections of this size indicate a breakdown of the perturbative expansion, and suggest the need for a non-perturbative description of the corresponding regime. This is analogous to a situation argued to arise in black hole evolution, and to interfere with a sharp perturbative calculation of "missing information" in Hawking radiation.

32 pages, 2 figures; v2: running of spectral index included and other minor changes; v3: minor changes to agree with published version

References in corpus (46)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Quantum Contributions to Cosmological Correlations
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• A general proof of the conservation of the curvature perturbation
• Second-Order Cosmological Perturbations from Inflation
• Generalized metric formulation of double field theory
• Single field consistency relation for the 3-point function
• The inflationary prediction for primordial non-gaussianity
• On the Back Reaction Problem for Gravitational Perturbations
• De Sitter Space and Eternity
• Stochastic Quantum Gravitational Inflation
• Observables in effective gravity
• On Loops in Inflation
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Infrared effects in inflationary correlation functions
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• On the one loop corrections to inflation and the CMB anisotropies
• Decay of Vacuum Energy
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• A Measure of de Sitter Entropy and Eternal Inflation
• One-loop corrections to the curvature perturbation from inflation
• On the divergences of inflationary superhorizon perturbations
• On the One Loop Corrections to Inflation II: The Consistency Relation
• On Resumming Inflationary Perturbations beyond One-loop
• Eternal Inflation: The Inside Story
• Reply to `Can infrared gravitons screen $\Lambda$?'
• The curvature perturbation in a box
• Diagrammatic approach to non-Gaussianity from inflation
• A parton picture of de Sitter space during slow-roll inflation
• Cosmological long wavelength perturbations
• On the Physical Significance of Infra-red Corrections to Inflationary Observables
• The black hole information paradox
• A global picture of quantum de Sitter space
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Nonlocality vs. complementarity: a conservative approach to the information problem
• Quantum Mechanics of Black Holes
• On the conservation of second-order cosmological perturbations in a scalar field dominated universe
• Les Houches Lectures on Black Holes
• Quantization in black hole backgrounds
• One-loop graviton corrections to the curvature perturbation from inflation
• A Simplified Quantum Gravitational Model of Inflation
• Covariant generalization of cosmological perturbation theory
• Inflationary parameters and primordial perturbation spectra

Cited by in corpus (133)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• The Quest for B Modes from Inflationary Gravitational Waves
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• The IR stability of de Sitter: Loop corrections to scalar propagators
• Breakdown of Semiclassical Methods in de Sitter Space
• Quantum Break-Time of de Sitter
• Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter
• Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
• Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
• Symmetries and Loops in Inflation
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Black holes, quantum information, and unitary evolution
• On the Equivalence between Euclidean and In-In Formalisms in de Sitter QFT
• Loop Corrections to Standard Model Fields in Inflation
• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Quantum Breaking Bound on de Sitter and Swampland
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• The constancy of ζin single-clock Inflation at all loops
• A Note on the Consistency Condition of Primordial Fluctuations
• On Features and Nongaussianity from Inflationary Particle Production
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• De Sitter Diagrammar and the Resummation of Time
• Perturbative Quantum Gravity Comes of Age
• Bootstrapping Multi-Field Inflation: non-Gaussianities from light scalars revisited
• Anisotropic imprint of long-wavelength tensor perturbations on cosmic structure
• Inflationary Correlation Functions without Infrared Divergences
• Characters of different secular effects in various patches of de Sitter space
• Consistency relation for cosmic magnetic fields
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• IR divergences and kinetic equation in de Sitter space. (Poincare patch; Principal series)
• High energy scattering in gravity and supergravity
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Infrared dynamics of massive scalars from the complementary series in de Sitter space
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• The IR stability of de Sitter QFT: Physical initial conditions
• On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• Amplitudes meet Cosmology: A (Scalar) Primer
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Fluctuating geometries, q-observables, and infrared growth in inflationary spacetimes
• On the Perturbative Stability of Quantum Field Theories in de Sitter Space
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• On the Decay of Massive Fields in de Sitter
• Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
• Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
• A non-Gaussian landscape
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Infra-red effects of Non-linear sigma model in de Sitter space
• Quantum corrections to the primordial tensor spectrum: Open EFTs & Markovian decoupling of UV modes
• Mode-sum construction of the covariant graviton two-point function in the Poincaré patch of de Sitter space
• Quantum Gravitational Effects on Massive Fermions during Inflation I
• Physical meaning and consequences of the loop IR divergences in global dS
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• Probing the inflationary particle content: extra spin-2 field
• Constraints on Gauge Field Production during Inflation
• Summing Inflationary Logarithms in Nonlinear Sigma Models
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Squeezed tensor non-Gaussianity in non-attractor inflation
• Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
• Seeking Inflation Fossils in the Cosmic Microwave Background
• Asymptotic Symmetries in de Sitter and Inflationary Spacetimes
• Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
• Universe's Primordial Quantum Memories
• Two dimensional Nearly de Sitter gravity
• Is string theory a theory of quantum gravity?
• Soft Gravitons Screen Couplings in de Sitter Space
• IR Divergences in Inflation and Entropy Perturbations
• Qubits on the Horizon: Decoherence and Thermalization near Black Holes
• Renormalisation of IR divergences and holography in de Sitter
• Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing Down
• Soft limits in holographic cosmology
• Soft Graviton effects on Gauge theories in de Sitter Space
• Deducing Cosmological Observables from the S-matrix
• Inhomogeneous non-Gaussianity
• Large Field Inflation and Gravitational Entropy
• The Weyl tensor correlator in cosmological spacetimes
• Non-Gaussian Mode Coupling and the Statistical Cosmological Principle
• de Sitter Space is Unstable in Quantum Gravity
• Why Must Primordial Non-Gaussianity Be Very Small?
• One loop graviton corrections to dynamical photons in de Sitter
• Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms
• Time Dependent Couplings as Observables in de Sitter Space
• Failure of Perturbation Theory Near Horizons: the Rindler Example
• The Kramers-Moyal Equation of the Cosmological Comoving Curvature Perturbation
• Compactly supported linearised observables in single-field inflation
• Infrared-finite graviton two-point function in static de Sitter space
• Loop corrections and a new test of inflation
• Patient Observers and Non-perturbative Infrared Dynamics in Inflation
• Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
• Fermionic influence (action) on inflationary fluctuations
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Quantum Cosmology Near Two Dimensions
• A quantum heating as an alternative of reheating
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance
• Precision Predictions for the Primordial Power Spectra of Scalar Potential Models of Inflation
• Comparative study of loop contributions in AdS and dS
• Testing a Dilaton Gravity Model using Nucleosynthesis
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Anisotropic separate universe and Weinberg's adiabatic mode
• On cosmic hair and "de Sitter breaking" in linearized quantum gravity
• Covariant and infrared-free graviton two-point function in de Sitter spacetime II
• Role of the counterterms in the conservation of superhorizon curvature perturbations at one loop
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Approaches to linear local gauge-invariant observables in inflationary cosmologies
• Conservation of $\zeta$ with radiative corrections from heavy field
• The Asymptotic Structure of Cosmological Integrals
• An Étude on the Regularization and Renormalization of Divergences in Primordial Observables
• Massless minimal quantum scalar field with an asymmetric self interaction in de Sitter spacetime
• Infrared divergences for free quantum fields in cosmological spacetimes
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Eliminating infrared divergences in an inflationary cosmology
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Loop corrections to primordial fluctuations from inflationary phase transitions
• On the primordial correlation of gravitons with gauge fields
• Eternal inflation and a thermodynamic treatment of Einstein's equations
• Late-time Structure of the Bunch-Davies FRW Wavefunction
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• The Physical Content of Long Tensor Modes in Cosmology
• Quantum Cosmology in Four Dimensions
• Cosmological Infrared Subtractions & Infrared-Safe Computables
• Stochastic approach to gravitational waves from inflation
• Loop corrections to primordial non-Gaussianity
• Non-linear corrections to inflationary power spectrum
• Causality Implies Inflationary Back-Reaction
• Soft gravitons as Goldstone modes of spontaneously broken asymptotic symmetries in de Sitter spacetimes
• Non-Gaussian and loop effects of inflationary correlation functions in BRST formalism
• On counterterms in cosmological perturbation theory
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Noncommutative spacetime geometry and one-loop effects in primordial cosmology
• Infrared Logarithms in Minisuperspace Inflation