Back Reaction Of Perturbations In Two Scalar Field Inflationary Models

Abstract

We calculate the back-reaction of long wavelength cosmological perturbations on a general relativistic measure of the local expansion rate of the Universe. Specifically, we consider a cosmological model in which matter is described by two scalar matter fields, one being the inflaton and the other one representing a matter field which is used as a clock. We analyze back-reaction in a phase of inflaton-driven slow-roll inflation, and find that the leading infrared back-reaction terms contributing to the evolution of the expansion rate do not vanish when measured at a fixed value of the clock field. We also analyze the back-reaction of entropy modes in a specific cosmological model with negative square mass for the entropy field and find that back-reaction can become significant. Our work provides evidence that, in general, the back-reaction of infrared fluctuations could be locally observable.

9 pages, no figures

Cited by in corpus (71)

• Dark Energy
• Can the Acceleration of Our Universe Be Explained by the Effects of Inhomogeneities?
• The universe seen at different scales
• Accelerated expansion from structure formation
• Light propagation in statistically homogeneous and isotropic dust universes
• One-loop corrections to a scalar field during inflation
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Robustness of Inflation to Inhomogeneous Initial Conditions
• Backreaction: directions of progress
• Light propagation in statistically homogeneous and isotropic universes with general matter content
• Constraints on backreaction in dust universes
• Evaluating backreaction with the peak model of structure formation
• De Sitter Diagrammar and the Resummation of Time
• Perturbative Quantum Gravity Comes of Age
• Toward physical cosmology: focus on inhomogeneous geometry and its non-perturbative effects
• Inflationary Correlation Functions without Infrared Divergences
• Gauge invariant averages for the cosmological backreaction
• Applicability of the linearly perturbed FRW metric and Newtonian cosmology
• Stress tensor fluctuations in de Sitter spacetime
• On globally static and stationary cosmologies with or without a cosmological constant and the Dark Energy problem
• Do Large-Scale Inhomogeneities Explain Away Dark Energy?
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology
• Cosmological Backreaction from Perturbations
• Predictions in eternal inflation
• Robustness of Inflation to Large Tensor Perturbations
• Condensates and quasiparticles in inflationary cosmology: mass generation and decay widths
• The Effects of Potential Shape on Inhomogeneous Inflation
• On the Perturbative Stability of Quantum Field Theories in de Sitter Space
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• A Measure of Cosmological Acceleration
• Backreaction and Stochastic Effects in Single Field Inflation
• Backreaction of a massless minimally coupled scalar field from inflationary quantum fluctuations
• Light propagation and the average expansion rate in near-FRW universes
• Cosmological Backreaction for a Test Field Observer in a Chaotic Inflationary Model
• Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation Theory
• Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
• De Sitter Stability and Coarse Graining
• Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
• Averaging Robertson-Walker Cosmologies
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• Lagrangian Formulation of Stochastic Inflation: A Recursive Approach
• IR Divergences in Inflation and Entropy Perturbations
• Propagators for gauge-invariant observables in cosmology
• Back-reaction of Cosmological Fluctuations during Power-Law Inflation
• Superhorizon entanglement entropy from particle decay in inflation
• Patient Observers and Non-perturbative Infrared Dynamics in Inflation
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• Invariant Measure of the One Loop Quantum Gravitational Back-Reaction on Inflation
• A rule of thumb for cosmological backreaction
• Pure Gravitational Back-Reaction Observables
• Analytical Study of Mode Coupling in Hybrid Inflation
• Reheating constraints on modified single-field Natural Inflation models
• Anisotropic separate universe and Weinberg's adiabatic mode
• One-loop quantum gravitational backreaction on the local Hubble rate
• Gauge invariant backreaction in general single field models of inflation
• Backreaction of superhorizon perturbations in scalar field cosmologies
• Robustness of inflation to kinetic inhomogeneities
• Stochastic Samples versus Vacuum Expectation Values in Cosmology
• Can Back-Reaction Prevent Eternal Inflation?
• Tensor Mode Backreaction During Slow-roll Inflation
• Quantum corrections during inflation and conservation of adiabatic perturbations
• Graviton backreaction on the local cosmological expansion in slow-roll inflation
• Loop corrections to primordial fluctuations from inflationary phase transitions
• Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
• Back-Reaction of Gravitational Waves Revisited
• Instability of Quantum de Sitter Spacetime
• Second-order effective energy-momentum tensor of gravitational scalar perturbations with perfect fluid
• A Bouncing Cosmology from VECROs
• Super-horizon effects on the gauge invariant effective energy density in f(R) gravity
• Pure Natural Quintessential Inflation and Dark Energy