Non-perturbative approach for curvature perturbations in stochastic

Tomohiro Fujita*, Masahiro Kawasaki, Yuichiro Tada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


In our previous paper [1], we have proposed a new algorithm to calculate the power spectrum of the curvature perturbations generated in inflationary universe with use of the stochastic approach. Since this algorithm does not need the perturbative expansion with respect to the inflaton fields on super-horizon scale, it works even in highly stochastic cases. For example, when the curvature perturbations are very large or the non-Gaussianities of the curvature perturbations are sizable, the perturbative expansion may break down but our algorithm enables to calculate the curvature perturbations. We apply it to two well-known inflation models, chaotic and hybrid inflation, in this paper. Especially for hybrid inflation, while the potential is very flat around the critical point and the standard perturbative computation is problematic, we successfully calculate the curvature perturbations.

Original languageEnglish
Article number030
JournalJournal of Cosmology and Astroparticle Physics
Issue number10
Publication statusPublished - 2014 Oct 1
Externally publishedYes


  • Cosmological perturbation theory
  • Ination
  • Physics of the early universe

ASJC Scopus subject areas

  • Astronomy and Astrophysics


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