Stochastic inflation with coloured noise

Details Stochastic inflation with coloured noise Stochastic inflation with coloured noise

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..841..314b&link_type=abstract

A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP Conference Proceedings, Volume 841, pp. 314-3

Physics

1

Particle-Theory And Field-Theory Models Of The Early Universe, Mathematical And Relativistic Aspects Of Cosmology

Scientific paper

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.

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