δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum

Abstract

We present a consistent δN formalism for curvature perturbations in anisotropic cosmological backgrounds. We employ our δN formalism to calculate the power spectrum, the bispectrum and the trispectrum in models of anisotropic inflation with the background gauge fields in Bianchi I universe. Our results coincide exactly with the recent results obtained from in-in formalism. To satisfy the observational constraints the anisotropies generated on power spectrum are kept small but large orientation-dependent non-Gaussianities can be generated. We study the Suyama-Yamaguchi inequality for the amplitudes of the bispectrum and the trispectrum in the presence of anisotropic shapes.

V2: The analysis of gradient expansion are extended to all orders in perturbation theory, the results remained unchanged, new references are added, JCAP published version

References in corpus (28)

• Primordial Non-Gaussianities from Inflation Models
• Inflationary Universe with Anisotropic Hair
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Magnetic fields from inflation?
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Non-Gaussianity in the modulated reheating scenario
• Instability of anisotropic cosmological solutions supported by vector fields
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Anisotropic Power-law Inflation
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Instability of the ACW model, and problems with massive vectors during inflation
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• Asymmetric Beams and CMB Statistical Anisotropy
• Anisotropic Inflation from Charged Scalar Fields
• CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
• Particle Production of Vector Fields: Scale Invariance is Attractive
• Non-detection of a statistically anisotropic power spectrum in large-scale structure
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Non-Gaussianity Consistency Relation for Multi-field Inflation
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• Gauge field back-reaction in Born Infeld cosmologies
• Primordial bispectrum from inflation with background gauge fields
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Modulation of the waterfall by a gauge field
• Scale-dependent bias due to primordial vector fields

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• The expected anisotropy in solid inflation
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• Dynamical Analysis of Anisotropic Inflation
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• Primordial anisotropies from cosmic strings during inflation
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• Scale and shape dependent non-Gaussianity in the presence of inflationary vector fields
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• On the primordial correlation of gravitons with gauge fields
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