# Inflation and the Fine-Tuning Problem

## Author

**Andrew Matacz**

## Status

Research Report 96-38

Date: 27 Novenmber 1996

## Abstract

We describe a recently derived stochastic approach to inflaton dynamics
which can address some serious problems associated with conventional
inflationary theory.
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.

## Key phrases

Cosmology. Non-equilibrium Statistical Physics.

## Content

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Sydney Mathematics and Statistics