Inflation in multi-field random Gaussian landscapes

Ali Masoumi, Alexander Vilenkin, Masaki Yamada

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We investigate slow-roll inflation in a multi-field random Gaussian landscape. The landscape is assumed to be small-field, with a correlation length much smaller than the Planck scale. Inflation then typically occurs in small patches of the landscape, localized near inflection or saddle points. We find that the inflationary track is typically close to a straight line in the field space, and the statistical properties of inflation are similar to those in a one-dimensional landscape. This picture of multi-field inflation is rather different from that suggested by the Dyson Brownian motion model; we discuss the reasons for this difference. We also discuss tunneling from inflating false vacua to the neighborhood of inflection and saddle points and show that the tunneling endpoints tend to concentrate along the flat direction in the landscape.

Original languageEnglish
Article number035
JournalJournal of Cosmology and Astroparticle Physics
Issue number12
Publication statusPublished - 2017 Dec 20


  • Cosmology
  • Eternal universe
  • Inflation
  • Initial conditions
  • Particle physics - cosmology connection
  • String theory


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