TY - JOUR

T1 - The condition for classical slow rolling in new inflation

AU - Sasaki, Misao

AU - Nambu, Yasusada

AU - Nakao, Ken ichi

PY - 1988/8/4

Y1 - 1988/8/4

N2 - 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.

AB - 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.

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U2 - 10.1016/0370-2693(88)90932-X

DO - 10.1016/0370-2693(88)90932-X

M3 - Article

AN - SCOPUS:0347715444

SN - 0370-2693

VL - 209

SP - 197

EP - 202

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -