Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy?

Abstract

Anisotropic inflation is an interesting model with an U(1) gauge field and it predicts the statistical anisotropy of the curvature perturbation characterized by a parameter $g_{\ast }$. However, we find that the background gauge field does not follow the classical attractor solution due to the stochastic effect. We develop the stochastic formalism of a vector field and solve Langevin and Fokker-Planck equations. It is shown that this model is excluded by the CMB constraint $g_{\ast }\le 10^{-2}$ with a high probability about $99.999\%$.

References in corpus (20)

• Generating the curvature perturbation without an inflaton
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Inflationary Universe with Anisotropic Hair
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Cosmic Density Perturbations from Late-Decaying Scalar Condensations
• Stochastic growth of quantum fluctuations during slow-roll inflation
• Primordial Power Spectra from Anisotropic Inflation
• Limits on anisotropic inflation from the Planck data
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Anisotropic Non-Gaussianity from a Two-Form Field
• Anisotropic power-law k-inflation
• Designing Anisotropic Inflation with Form Fields
• Constraining anisotropic models of the early Universe with WMAP9 data
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• Stochastic Effects in Hybrid Inflation
• Anisotropic Inflation with the non-Vacuum Initial State
• Limits on statistical anisotropy from BOSS DR12 galaxies using bipolar spherical harmonics
• Statistical Anisotropy and the Vector Curvaton Paradigm

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• Generation of Primordial Black Holes and Gravitational Waves from Dilaton-Gauge Field Dynamics
• Revisiting Magnetogenesis during Inflation
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• Measuring the duration of inflation with the curvaton
• Stochastic Effects in Anisotropic Inflation
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• Stochastic Effects in Axion Inflation and Primordial Black Holes Formation
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Vector disformal transformation of cosmological perturbations
• Anisotropic inflation with coupled $\mathbf{p}$-forms
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• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Boundary Crossing in Stochastic Inflation with Critical Number of Fields
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• Stable small spatial hairs in a power-law k-inflation model
• Anisotropic Massive Gauge-flation
• CMB imprints of non-canonical anisotropic inflation
• Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• Testing Short Distance Anisotropy in Space
• Hunting for Statistical Anisotropy in Tensor Modes with B-mode Observations
• Inflation with Stochastic Boundary
• Stochastic formalism for U(1) gauge fields in axion inflation
• Statistically-Anisotropic Tensor Bispectrum from Inflation
• \bf $\delta M$ Formalism and Anisotropic Chaotic Inflation Power Spectrum
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
• Novel setup for detecting short-range anisotropic corrections to gravity
• Inflation with vector fields revisited: heavy entropy perturbations and primordial black holes
• Deviations from Gaussian White Noise in Stochastic Inflation
• When does the Schwinger Preheating Occur?