Stochastic Effects in Anisotropic Inflation
General Relativity and Quantum Cosmology
2020-02-05 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We revisit the stochastic effects in the model of anisotropic inflation containing a 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.
Cite
@article{arxiv.1909.12773,
title = {Stochastic Effects in Anisotropic Inflation},
author = {Alireza Talebian and Amin Nassiri-Rad and Hassan Firouzjahi},
journal= {arXiv preprint arXiv:1909.12773},
year = {2020}
}