Finite volume effects for non-Gaussian multi-field inflationary models

Abstract

Models of multi-field inflation exhibiting primordial non-Gaussianity have recently been introduced. This is the case in particular if the fluctuations of a light field scalar field, transverse to the inflaton direction, with quartic coupling can be transferred to the metric fluctuations. So far in those calculations only the ensemble statistical properties have been considered. We explore here how finite volume effects could affect those properties. We show that the expected non-Gaussian properties survive at a similar level when the finite volume effects are taken into account and also find that they can skew the metric distribution even though the ensemble distribution is symmetric.

13 pages, 2 figures

References in corpus (31)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Generating the curvature perturbation without an inflaton
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• The primordial density perturbation in the curvaton scenario
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• From the Big Bang Theory to the Theory of a Stationary Universe
• Non-Gaussianity in multi-field inflation
• On Non-Gaussianity in the Curvaton Scenario
• Non-Gaussianities in models with a varying inflaton decay rate
• Cosmic Structure Formation with Topological Defects
• Non-Gaussian Signatures in the Temperature Fluctuation Observed by the Wilkinson Microwave Anisotropy Probe
• Inflationary models inducing non-Gaussian metric fluctuations
• Tests for Non-Gaussian Statistics in the DMR Four-Year Sky Maps
• Detection of non-Gaussian Signatures in the VIRMOS-DESCART Lensing Survey
• Tests for Gaussianity of the MAXIMA-1 CMB Map
• Effective noise in stochastic description of inflation
• High-Resolution Simulations of Cosmic Microwave Background non-Gaussian Maps in Spherical Coordinates
• 2-point anisotropies in WMAP and the Cosmic Quadrupole
• Estimate of the Cosmological Bispectrum from the MAXIMA-1 Cosmic Microwave Background Map
• The Kurtosis of the Cosmic Shear Field
• Search for non-gaussian signals in the BOOMERanG maps: pixel-space analysis
• Gaussianity of Degree-Scale Cosmic Microwave Background Anisotropy Observations
• 3-point temperature anisotropies in WMAP: Limits on CMB non-Gaussianities and non-linearities
• Skewness as a probe of non-Gaussian initial conditions
• Genus Topology of the Cosmic Microwave Background from WMAP
• High order correlation functions for self interacting scalar field in de Sitter space
• Using the COBE/DMR data as a test-bed for normality assessments
• Cosmic Microwave Background non-Gaussian signatures from analytical texture models
• Axion perturbation spectra in string cosmologies

Cited by in corpus (16)

• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Modulated fluctuations from hybrid inflation
• Constraints on mode couplings and modulation of the CMB with WMAP data
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Cosmic microwave background bispectrum on small angular scales
• The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter
• Classicality of the primordial perturbations
• Gravitational waves generated by second order effects during inflation
• A non-Gaussian landscape
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part II: the Trispectrum
• Non-Gaussianities in extended D-term inflation
• Inhomogeneous non-Gaussianity
• Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions
• Gravity and non-gravity mediated couplings in multiple-field inflation
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• The shape of high order correlation functions in CMB anisotropy maps