The condition for classical slow rolling in new inflation

Misao Sasaki, Yasusada Nambu, Ken ichi Nakao

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


By means of the stochastic description of inflation we investigate the dynamics of a fixed comoving domain in a continuously inflating universe on a global scale, both analytically and numerically. Particular attention is paid to the condition for a domain to enter the classical slow rolling phase. New inflationary universe models with the potential form V(φ{symbol})≈V0-cφ{symbol}2n at φ{symbol}∼0 are considered. The critical value of the scalar field beyond which the field slowly rolls down the potential hill is estimated. We find that for all models under consideration, the condition for classical slow rolling is a sufficient condition for the expected amplitude of density perturbations to be smaller than unity. In other words, the density perturbation amplitude at the later Friedmann stage is always smaller than unity if the universe experienced the classical slow roll-over phase.

Original languageEnglish
Pages (from-to)197-202
Number of pages6
JournalPhysics Letters B
Issue number2-3
Publication statusPublished - Aug 4 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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