Stochastic Effects in Anisotropic Inflation

Abstract

We revisit the stochastic effects in the model of anisotropic inflation containing a $U(1)$ gauge field. We obtain the Langevin equations for the inflaton and gauge fields perturbations and solve them analytically. We show that if the initial value of the electric field is larger than its classical attractor value, then the random stochastic forces associated with the gauge field is balanced by the frictional damping (classical) force and the electric field falls into an equilibrium (stationary) regime. As a result, the classical attractor value of the electric field is replaced by its stationary value. We show that the probability of generating quadrupolar statistical anisotropy consistent with CMB constraints can be significant.

References in corpus (81)

• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• From the Big Bang Theory to the Theory of a Stationary Universe
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• Inflationary Universe with Anisotropic Hair
• Vector Field Models of Inflation and Dark Energy
• Stochastic Quantum Gravitational Inflation
• Correlation Functions in Stochastic Inflation
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• Stochastic Inflationary Scalar Electrodynamics
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• CMB Anisotropies and Inflation from Non-Standard Spinors
• Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
• Anisotropic Power-law Inflation
• Primordial statistical anisotropy generated at the end of inflation
• Stochastic growth of quantum fluctuations during slow-roll inflation
• Open EFTs, IR Effects and Late-Time Resummations: Systematic Corrections in Stochastic Inflation
• Primordial Power Spectra from Anisotropic Inflation
• On the divergences of inflationary superhorizon perturbations
• Limits on anisotropic inflation from the Planck data
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Stochastic inflation in phase space: Is slow roll a stochastic attractor?
• Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• A new algorithm for calculating the curvature perturbations in stochastic inflation
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Anisotropic Inflation from Charged Scalar Fields
• Inflation with stable anisotropic hair: is it cosmologically viable?
• Stochastic Ultra Slow Roll Inflation
• Inflation with Multi-Vector-Hair: The Fate of Anisotropy
• Hamilton's approach in cosmological inflation with an exponential potential and its observational constraints
• An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• Multiple Fields in Stochastic Inflation
• Anisotropic Non-Gaussianity from a Two-Form Field
• Anisotropic power-law k-inflation
• Higher order statistics of curvature perturbations in IFF model and its Planck constraints
• δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
• Observational signatures of anisotropic inflationary models
• Anisotropic Constant-roll Inflation
• Critical Number of Fields in Stochastic Inflation
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Designing Anisotropic Inflation with Form Fields
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Anisotropic inflation reexamined: upper bound on broken rotational invariance during inflation
• Statistical nature of infrared dynamics on de Sitter background
• Constraining anisotropic models of the early Universe with WMAP9 data
• Stable solutions of inflation driven by vector fields
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• Curvature Perturbations in Anisotropic Inflation with Symmetry Breaking
• MHz Gravitational Waves from Short-term Anisotropic Inflation
• Stochastic Effects in Hybrid Inflation
• Anisotropic Inflation with the non-Vacuum Initial State
• Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy?
• The statistically anisotropic curvature perturbation generated by f(ϕ)^2 F^2
• Signatures of anisotropic sources in the trispectrum of the cosmic microwave background
• Issues on Generating Primordial Anisotropies at the End of Inflation
• Primordial Anisotropies in Gauged Hybrid Inflation
• Constraints on Gauge Field Production during Inflation
• Primordial Statistical Anisotropies: The Effective Field Theory Approach
• The TT, TB, EB and BB correlations in anisotropic inflation
• Tunneling in Stochastic Inflation
• Perturbations in stochastic inflation
• Statistically Anisotropic Tensor Modes from Inflation
• Anisotropic Power Law Inflation from Rolling Tachyons
• Large Scale Anisotropic Bias from Primordial non-Gaussianity
• Primordial bispectrum from inflation with background gauge fields
• Fluctuations along supersymmetric flat directions during Inflation
• Anisotropic Inflation with Derivative Couplings
• Primordial perturbations from dilaton-induced gauge fields
• Vector disformal transformation of cosmological perturbations
• \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation
• Pseudoscalar N-flation and axial coupling revisited
• Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves
• Anisotropic Inflation and Cosmological Observations
• Stochastic Approach to Flat Direction during Inflation
• \bf $\delta M$ Formalism and Anisotropic Chaotic Inflation Power Spectrum

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• Stochastic Effects in Axion Inflation and Primordial Black Holes Formation
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• Testing Short Distance Anisotropy in Space
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
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• Stochastic formalism for U(1) gauge fields in axion inflation
• Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation
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