Moment transport equations for non-Gaussianity

Mulryne, David J, Seery, David and Wesley, Daniel (2010) Moment transport equations for non-Gaussianity. Journal of Cosmology and Astroparticle Physics, 2010 (1). ISSN 14757516

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Abstract

We present a novel method for calculating the primordial non-Gaussianity produced by super-horizon evolution during inflation. Our method evolves the distribution of coarse-grained inflationary field values using a transport equation. We present simple evolution equations for the moments of this distribution, such as the variance and skewness. This method possesses some advantages over existing techniques. Among them, it cleanly separates multiple sources of primordial non-Gaussianity, and is computationally efficient when compared with popular alternatives, such as the dN framework. We adduce numerical calculations demonstrating that our new method offers good agreement with those already in the literature. We focus on two fields and the f nl parameter, but we expect our method will generalize to multiple scalar fields and to moments of arbitrarily high order. We present our expressions in a field-space covariant form which we postulate to be valid for any number of fields.

Item Type: Article
Additional Information: Author list in alphabetical order.
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: David Seery
Date Deposited: 06 Feb 2012 18:17
Last Modified: 20 Mar 2012 12:35
URI: http://sro.sussex.ac.uk/id/eprint/15581
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