Does anisotropic inflation produce a small statistical anisotropy?

Tomohiro Fujita, Ippei Obata

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


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 languageEnglish
Article number049
JournalJournal of Cosmology and Astroparticle Physics
Issue number1
Publication statusPublished - 2018 Jan
Externally publishedYes


  • Ination
  • physics of the early universe
  • quantum cosmology

ASJC Scopus subject areas

  • Astronomy and Astrophysics


Dive into the research topics of 'Does anisotropic inflation produce a small statistical anisotropy?'. Together they form a unique fingerprint.

Cite this