Does anisotropic inflation produce a small statistical anisotropy?

Tomohiro Fujita; Ippei Obata

doi:10.1088/1475-7516/2018/01/049

Does anisotropic inflation produce a small statistical anisotropy?

Tomohiro Fujita, Ippei Obata

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

Anisotropic inflation is an interesting model with an \U(1) gauge field and it predicts the statistical anisotropy of the curvature perturbation characterized by a parameter g_∗. However, we find that the background gauge field does not follow the classical attractor solution due to the stochastic effect. We develop the stochastic formalism of a vector field and solve Langevin and Fokker-Planck equations. It is shown that this model is excluded by the CMB constraint g_∗≤ 10^-2 with a high probability about 99.999%.

Original language	English
Article number	049
Journal	Journal of Cosmology and Astroparticle Physics
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1088/1475-7516/2018/01/049
Publication status	Published - 2018 Jan
Externally published	Yes

Keywords

Ination
physics of the early universe
quantum cosmology

ASJC Scopus subject areas

Astronomy and Astrophysics

Access to Document

10.1088/1475-7516/2018/01/049

Cite this

@article{b090612799bf43479660c7bc30342026,

title = "Does anisotropic inflation produce a small statistical anisotropy?",

abstract = "Anisotropic inflation is an interesting model with an \U(1) gauge field and it predicts the statistical anisotropy of the curvature perturbation characterized by a parameter g∗. However, we find that the background gauge field does not follow the classical attractor solution due to the stochastic effect. We develop the stochastic formalism of a vector field and solve Langevin and Fokker-Planck equations. It is shown that this model is excluded by the CMB constraint g∗≤ 10-2 with a high probability about 99.999%.",

keywords = "Ination, physics of the early universe, quantum cosmology",

author = "Tomohiro Fujita and Ippei Obata",

note = "Funding Information: We would like to thank T. Tanaka, Y. Tada and J. Tokuda for fruitful discussions and comments. The part of this work is supported by JSPS KAKENHI Grant Number 15J01345 and the Grant-in-Aid for JSPS Fellows No. 29-9103. Publisher Copyright: {\textcopyright} 2018 IOP Publishing Ltd and Sissa Medialab.",

year = "2018",

month = jan,

doi = "10.1088/1475-7516/2018/01/049",

language = "English",

volume = "2018",

journal = "Journal of Cosmology and Astroparticle Physics",

issn = "1475-7516",