Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation

Abstract

We compute the phenomenological signatures of a model (Watanabe et al' 09) of anisotropic inflation driven by a scalar and a vector field. The action for the vector is U(1) invariant, and the model is free of ghost instabilities. A suitable coupling of the scalar to the kinetic term of the vector allows for a slow roll evolution of the vector vev, and hence for a prolonged anisotropic expansion; this provides a counter example to the cosmic no hair conjecture. We compute the nonvanishing two point correlation functions between physical modes of the system, and express them in terms of power spectra with angular dependence. The anisotropy parameter g_* for the scalar-scalar spectrum (defined as in the Ackerman et al '07 parametrization) turns out to be negative in the simplest realization of the model, which, therefore, cannot account for the angular dependence emerged in some analyses of the WMAP data. A g_* of order -0.1 is achieved when the energy of the vector is about 6-7 orders of magnitude smaller than that of the scalar during inflation. For such values of the parameters, the scalar-tensor correlation (which is in principle a distinctive signature of anisotropic spaces) is smaller than the tensor-tensor correlation.

References in corpus (60)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• Asymmetries in the CMB anisotropy field
• The significance of the largest scale CMB fluctuations in WMAP
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• The axis of evil
• Inflationary Universe with Anisotropic Hair
• Suppressing the lower Multipoles in the CMB Anisotropies
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Vector Inflation
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• Vector Field Models of Inflation and Dark Energy
• Magnetic fields from inflation?
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• Could dark energy be vector-like?
• The Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3
• Estimators for CMB Statistical Anisotropy
• Instability of anisotropic cosmological solutions supported by vector fields
• Theory of cosmological perturbations in an anisotropic universe
• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• Cosmological Magnetic Fields from Inflation and Backreaction
• Asymmetries in the local curvature of the WMAP data
• Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature
• A Maximum Likelihood Analysis of the Low CMB Multipoles from WMAP
• Accelerating Cosmologies with an Anisotropic Equation of State
• Primordial statistical anisotropy generated at the end of inflation
• Can a vector field be responsible for the curvature perturbation in the Universe?
• Anisotropically Inflating Universes
• Instability of the ACW model, and problems with massive vectors during inflation
• Bayesian analysis of sparse anisotropic universe models and application to the 5-yr WMAP data
• Anisotropic Inflation from Vector Impurity
• On the evolution of universes in quadratic theories of gravity
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Vector theories in cosmology
• Coupled fields in external background with application to nonthermal production of gravitinos
• Inflation from N-Forms and its stability
• Inflation and dark energy from three-forms
• P-nflation: generating cosmic Inflation with p-forms
• Vector Curvaton with varying Kinetic Function
• Vector Curvaton without Instabilities
• Anisotropic non-Gaussianity from vector field perturbations
• Instabilities in the Aether
• Three-form cosmology
• Cosmological evolution in vector-tensor theories of gravity
• Simple Types of Anisotropic Inflation
• Non-minimally coupled vector curvaton
• Non-gaussianity from the trispectrum and vector field perturbations
• Non-gaussianity at tree and one-loop levels from vector field perturbations
• Anisotropic Trispectrum of Curvature Perturbations Induced by Primordial Non-Abelian Vector Fields
• Anisotropic bispectrum of curvature perturbations from primordial non-Abelian vector fields
• Gravity Waves Signatures from Anisotropic pre-Inflation
• Linear perturbations in vector inflation and stability issues
• Gravitational waves from p-form inflation
• Aether Unleashed
• Bayesian Limits on Primordial Isotropy Breaking
• Sigma-Model Aether
• Spacetime Noncommutativity and Antisymmetric Tensor Dynamics in the Early Universe

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• Correlated curvature perturbations and magnetogenesis from the GUT gauge bosons
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