1. Stochastic inflation with coloured noise.
- Author
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Breuer, Heinz-Peter and Kunze, Kerstin E.
- Subjects
- *
NOISE , *DISTRIBUTION (Probability theory) , *PROBABILITY theory , *DYNAMICS , *MATHEMATICAL physics , *PHYSICS - Abstract
In most approaches to stochastic inflation the noise term driving the dynamics is taken to be a white noise process. This white noise is closely linked to a step-function cutoff used to coarse-grain the inflaton field. Taking a different cutoff naturally leads to a coloured noise process. We study the effect of coloured noise on the dynamics of the inflaton, in particular, the resulting probability distributions. Furthermore, the corresponding stochastic differential equation of the inflaton is solved in a perturbative way. © 2006 American Institute of Physics [ABSTRACT FROM AUTHOR]
- Published
- 2006
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