Mathematics – Probability
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.5295y&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 12, 15 June 1993, pp.5295-5303
Mathematics
Probability
3
Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
During chaotic inflation, the dispersion of a scalar field can show interesting nonlinear effects. This is not seen in treatments which combine a deterministic description for the mean-field evolution with a diffusion approximation for the quantum fluctuations. We derive a criterion which distinguishes the diffusive regime from the nonlinear regime using stochastic dynamics in models of noninteracting multiple scalar fileds. In the nonlinear regime, dispersion estimates based on a simple diffusion approximation fail due to a strong nonlinear drift effect. We give some simple numerical examples to support this result. We apply our results to a double inflation model and show that estimates of the probability of successful inflation depend on a correct treatment of nonlinear effects. Including them greatly reduces the amount of fine-tuning necessary in this model.
Vishniac Ethan T.
Yi Insu
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