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 (16)

• Inflationary Universe with Anisotropic Hair
• 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
• Anisotropic Power-law Inflation
• Stochastic growth of quantum fluctuations during slow-roll inflation
• On the divergences of inflationary superhorizon perturbations
• Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Anisotropic Inflation from Charged Scalar Fields
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• On the non-Gaussian correlation of the primordial curvature perturbation with vector fields
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• The TT, TB, EB and BB correlations in anisotropic inflation
• Perturbations in stochastic inflation