Quantum backreaction in evolving FLRW spacetimes
arXiv:1009.5510 · doi:10.1103/PhysRevD.83.044015
Abstract
Quantum fluctuations of a nonminimally coupled scalar field in D-dimensional homogeneous and isotropic background are calculated within the operator formalism in curved models with time evolutions of the scale factor that allow smooth transitions between contracting and expanding and between decelerating and accelerating regimes. The coincident propagator is derived and used to compute the one-loop backreaction from the scalar field. The inflationary infrared divergences are absent in Bunch-Davies vacuum when taking into account a preceding cosmological era or spatial curvature which can be either positive or negative. It is found that asymptotically, the backreaction energy density in the minimally coupled case grows logarithmically with the scale factor in quasi-de Sitter space, and in a class of models decays in slow-roll inflation and grows as a power-law during super-inflation. The backreaction increases generically in a contracting phase or in the presence of a negative nonminimal coupling. The effects of the coupling and renormalization scale upon the quantum fluctuations together with the novel features due to nontrivial time evolution and spatial curvature are clarified with exact solutions and numerical examples.
23 pages, 6 figures
References in corpus (45)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
- The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
- Properties of singularities in (phantom) dark energy universe
- Nonperturbative Evolution Equation for Quantum Gravity
- Inflationary spacetimes are not past-complete
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Super-Acceleration from Massless, Minimally Coupled
- On the Back Reaction Problem for Gravitational Perturbations
- The Energy-Momentum Tensor for Cosmological Perturbations
- The Quantum Gravitational Back-Reaction On Inflation
- Quantum Gravity Slows Inflation
- On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom
- On Loops in Inflation
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- Infrared effects in inflationary correlation functions
- A Measure of de Sitter Entropy and Eternal Inflation
- Nonsymmetric Gravitational Theory
- Inflation and dark energy from three-forms
- LARGE SCALE PERTURBATIONS IN THE OPEN UNIVERSE
- Nonlocal gravity and the diffusion equation
- Infrared Propagator Corrections for Constant Deceleration
- De Sitter Breaking through Infrared Divergences
- Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
- The Zeta-Zeta Correlator Is Time Dependent
- A Maximally Symmetric Vector Propagator
- A Completely Regular Quantum Stress Tensor with
- Dimensionally Regulated Graviton 1-Point Function in de Sitter
- Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
- Inflation with a Negative Cosmological Constant
- Cosmological Perturbation Theory in Slow-Roll Spacetimes
- On the Possibility of Anisotropic Curvature in Cosmology
- On leading order gravitational backreactions in de Sitter spacetime
- Wiggles in the cosmic microwave background radiation: echoes from non-singular cyclic-inflation
- Cosmological Constant Problems and Renormalization Group
- Bouncing Palatini cosmologies and their perturbations
- Effects of Quantized Scalar Fields in Cosmological Spacetimes with Big Rip Singularities
- Anisotropic cosmologies containing isotropic background radiation
- The Cosmological Constant Problem, an Inspiration for New Physics
- A graviton propagator for inflation
- The graviton one-loop effective action in cosmological space-times with constant deceleration
- A solution to the cosmological constant problem
- Vacuum properties of nonsymmetric gravity in de Sitter space
Cited by in corpus (21)
- Cosmology and Fundamental Physics with the Euclid Satellite
- Cosmology and fundamental physics with the Euclid satellite
- Inflationary Correlation Functions without Infrared Divergences
- On infrared and ultraviolet divergences of cosmological perturbations
- Stability of de Sitter spacetime against infrared quantum scalar field fluctuations
- Issues Concerning Loop Corrections to the Primordial Power Spectra
- Backreaction of a massless minimally coupled scalar field from inflationary quantum fluctuations
- De Sitter Stability and Coarse Graining
- Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
- Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
- Particle creation from the quantum stress tensor
- Revisiting a pre-inflationary radiation era and its effect on the CMB power spectrum
- Scalar cosmological perturbations from inflationary black holes
- Anisotropic non-Gaussianity from Rotational Symmetry Breaking Excited Initial States
- Newtonian Potential and Geodesic Completeness in Infinite Derivative Gravity
- Phase transitions during Cyclic-Inflation and Non-gaussianity
- Eliminating infrared divergences in an inflationary cosmology
- Stationary Phase Approximation and Instanton-like States for Cosmological In-In Path Integrals
- On the Expected Backreaction During Preheating
- Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
- Cosmological backreaction of a quantized massless scalar field