Transport equations for the inflationary trispectrum

Anderson, Gemma Jayne, Mulryne, David J. and Seery, David (2012) Transport equations for the inflationary trispectrum. Journal of Cosmology and Astroparticle Physics, 2012 (10). 019. ISSN 1475-7516

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Abstract

We use transport techniques to calculate the trispectrum produced in multiple-field inflationary models with canonical kinetic terms. Our method allows the time evolution of the local trispectrum parameters, tauNL and gNL, to be tracked throughout the inflationary phase. We illustrate our approach using examples. We give a simplified method to calculate the superhorizon part of the relation between field fluctuations on spatially flat hypersurfaces and the curvature perturbation on uniform density slices, and obtain its third-order part for the first time. We clarify how the 'backwards' formalism of Yokoyama et al. relates to our analysis and other recent work. We supply explicit formulae which enable each inflationary observable to be computed in any canonical model of interest, using a suitable first-order ODE solver.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QB Astronomy > QB0980 Cosmogony. Cosmology
Depositing User: David Seery
Date Deposited: 14 May 2013 08:23
Last Modified: 14 Mar 2017 02:23
URI: http://sro.sussex.ac.uk/id/eprint/42469

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