Spectrum of Perturbations in Anisotropic Inflationary Universe with Vector Hair

Abstract

We study both the background evolution and cosmological perturbations of anisotropic inflationary models supported by coupled scalar and vector fields. The models we study preserve the U(1) gauge symmetry associated with the vector field, and therefore do not possess instabilities associated with longitudinal modes (which instead plague some recently proposed models of vector inflation and curvaton). We first intoduce a model in which the background anisotropy slowly decreases during inflation; we then confirm the stability of the background solution by studying the quadratic action for all the perturbations of the model. We then compute the spectrum of the $h_{\times }$ gravitational wave polarization. The spectrum we find breaks statistical isotropy at the largest scales and reduces to the standard nearly scale invariant form at small scales. We finally discuss the possible relevance of our results to the large scale CMB anomalies.

25 pages, 8 figures, typos corrected

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• Primordial Power Spectra from Anisotropic Inflation
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Revisiting Cosmic No-Hair Theorem for Inflationary Settings
• Anisotropy in solid inflation
• Inflation with Multi-Vector-Hair: The Fate of Anisotropy
• Parity-violating CMB correlators with non-decaying statistical anisotropy
• Particle Production of Vector Fields: Scale Invariance is Attractive
• Parity-violating and anisotropic correlations in pseudoscalar inflation
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Non-gaussianity from the trispectrum and vector field perturbations
• Non-gaussianity at tree and one-loop levels from vector field perturbations
• Parity Violating Statistical Anisotropy
• Mixed Non-Gaussianity from Axion-Gauge Field Dynamics
• Statistical Anisotropy from Vector Curvaton in D-brane Inflation
• Feynman-like Rules for Calculating n-Point Correlators of the Primordial Curvature Perturbation
• Statistics of Anisotropies in Inflation with Spectator Vector Fields
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• Eliminating the eta-problem in SUGRA Hybrid Inflation with Vector Backreaction
• Gravitational wave trispectrum in the axion-SU(2) model
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• Classical bouncing Universes from vector fields
• Cosmological correlation functions in scalar and vector inflationary models
• Primordial black holes with anisotropic hair
• Primordial magnetic fields in the $f^{2}FF$ model in large field inflation under de Sitter and power law expansion