Non-Gaussianity in Multi-field Stochastic Inflation with the Scaling Approximation

Details Non-Gaussianity in Multi-field Stochastic Inflation with the Scaling Approximation Non-Gaussianity in Multi-field Stochastic Inflation with the Scaling Approximation

2005-06-16

arxiv.org/abs/astro-ph/0506373v3

JCAP 0507 (2005) 005

Astronomy and Astrophysics

Astrophysics

To appear in JCAP, references added

Scientific paper

10.1088/1475-7516/2005/07/005

The statistics of multi-field inflation are investigated using the stochastic approach. We analytically obtain the probability distribution function of fields with the scaling approximation by extending the previous work by Amendola. The non-Gaussian nature of the probability distribution function is investigated decomposing the fields into the adiabatic and isocurvature components. We find that the non-Gaussianity of the isocurvature component can be large compared with that of the adiabatic component. The adiabatic and isocurvature components may be correlated at nonlinear order in the skewness and kurtosis even if uncorrelated at linear level.

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