Inflation and the Fine-Tuning Problem

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Abstract

Using this theory we derive an exact solution to the stochastic dynamics for the case of a lambda*phi^4 potential and use it to study the primordial density fluctuations. We find that on both sub and super-horizon scales the theory predicts gaussian fluctuations to a very high accuracy along with a near scale-invariant spectrum. Of most interest is that the amplitude constraint is found to be satisfied for lambda ~ 10^{-5} rather than lambda ~ 10^{-14} of the conventional theory. This represents a dramatic easing of the fine-tuning constraints, a feature likely to generalize to a wide range of potentials.

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