Stochastic Inflation and the Lower Multipoles in the CMB Anisotropies

Abstract

We generalize the treatment of inflationary perturbations to deal with the non-Markovian colored noise emerging from any realistic approach to stochastic inflation. We provide a calculation of the power-spectrum of the gauge-invariant comoving curvature perturbation to first order in the slow-roll parameters. Properly accounting for the constraint that our local patch of the Universe is homogeneous on scales just above the present Hubble radius, we find a blue tilt of the power-spectrum on the largest observable scales, in agreement with the WMAP data which show an unexpected suppression of the low multipoles of the CMB anisotropy. Our explanation of the anomalous behaviour of the lower multipoles of the CMB anisotropies does not invoke any ad-hoc introduction of new physical ingredients in the theory.

arXiv comment9 pages, 2 figures

References in corpus (30)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Semiclassicality and Decoherence of Cosmological Perturbations
• A high resolution foreground cleaned CMB map from WMAP
• The significance of the largest scale CMB fluctuations in WMAP
• From the Big Bang Theory to the Theory of a Stationary Universe
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Suppressing the lower Multipoles in the CMB Anisotropies
• Reconstructing the primordial power spectrum
• Quantum Fluctuations, Decoherence of the Mean Field, and Structure Formation in the Early Universe
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• The Cosmic Microwave Background Bispectrum and Inflation
• Does the small CMB quadrupole moment suggest new physics?
• A Maximum Likelihood Analysis of the Low CMB Multipoles from WMAP
• Non-commutative inflation and the CMB
• A Fluctuation-Dissipation Relation for Semiclassical Cosmology
• Double Inflation and the Low CMB Quadrupole
• The Statistical Significance of the Low CMB Mulitipoles
• Stochastic Inflation:The Quantum Phase Space Approach
• Effective noise in stochastic description of inflation
• Exact likelihood evaluations and foreground marginalization in low resolution WMAP data
• A New Theory of Stochastic Inflation
• The Coherence of Primordial Fluctuations Produced During Inflation
• Correlated Isocurvature Fluctuation in Quintessence and Suppressed CMB Anisotropies at Low Multipoles
• An Infrared Cutoff Revealed by the Two Years of COBE-DMR Observations of Cosmic Temperature Fluctuations
• Influence of Super-Horizon Scales on Cosmological Observables Generated during Inflation
• Stochastic approach to inflation II: classicality, coarse-graining and noises

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• Non-Gaussianity from Inflation: Theory and Observations
• Inflation Dynamics and Reheating
• Correlation Functions in Stochastic Inflation
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Decoherence during Inflation: the generation of classical inhomogeneities
• A Low CMB Quadrupole from Dark Energy Isocurvature Perturbations
• Power spectrum for inflation models with quantum and thermal noises
• CMB multipole measurements in the presence of foregrounds
• Possible Explanation to Low CMB Quadrupole
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity
• Observational constraints on patch inflation in noncommutative spacetime
• Effective long wavelength scalar dynamics in de Sitter
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
• The CMB Quadrupole depression produced by early fast-roll inflation: MCMC analysis of WMAP and SDSS data
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Effects of a pre-inflation radiation-dominated epoch to CMB anisotropy
• Predictions in eternal inflation
• Stochastic inflationary dynamics beyond slow-roll and consequences for primordial black hole formation
• The pre-inflationary and inflationary fast-roll eras and their signatures in the low CMB multipoles
• Quantum noise and large-scale cosmic microwave background anisotropy
• Backreaction and Stochastic Effects in Single Field Inflation
• Band-power reconstruction of the primordial fluctuation spectrum by the maximum likelihood reconstruction method
• Reconstruction of the primordial fluctuation spectrum from the five-year WMAP data by the cosmic inversion method with band-power decorrelation analysis
• Higgs vacuum (in)stability during inflation: the dangerous relevance of de Sitter departure and Planck-suppressed operators
• Reconstructing the Primordial Spectrum with CMB Temperature and Polarization
• Perturbations in stochastic inflation
• Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and Linear Analysis --
• Inflationary stochastic anomalies
• Numerically modeling stochastic inflation in slow-roll and beyond
• Stochastic Quintessence
• Self-reproduction in k-inflation
• de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism
• Smooth coarse-graining and colored noise dynamics in stochastic inflation
• Noncommutative KKLMMT Model
• Gravitational wave from warm inflation
• Radiative Corrections to the Inflaton Potential as an Explanation of Suppressed Large Scale Power in Density Perturbations and the Cosmic Microwave Background
• Non-Gaussianity in Multi-field Stochastic Inflation with the Scaling Approximation
• Stochastic Inflation and Dimensional Reduction
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• Matching WMAP 3-yrs results with the Cosmological Slingshot Primordial Spectrum
• Inflationary buildup of a vector field condensate and its cosmological consequences
• Stochastic Inflation and Replica Field Theory
• Inflation and nonequilibrium renormalization group
• Stochastic inflation with quantum and thermal noise
• Naturally large tensor-to-scalar ratio in inflation
• Stabilization of Starobinsky-Vilenkin stochastic inflation by an environmental noise
• Deviations from Gaussian White Noise in Stochastic Inflation
• Scalar field stochastic dynamics in de Sitter spacetime from exact solutions of quantum deficient oscillators
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function