Non-Gaussian perturbations from multi-field inflation

Details Non-Gaussian perturbations from multi-field inflation Non-Gaussian perturbations from multi-field inflation

2005-09-23

arxiv.org/abs/astro-ph/0509719v2

JCAP 0601:006,2006

Astronomy and Astrophysics

Astrophysics

11 pages, RevTex; minor changes to text; conclusions unchanged; version to appear in JCAP

Scientific paper

10.1088/1475-7516/2006/01/006

We show how the primordial bispectrum of density perturbations from inflation may be characterised in terms of manifestly gauge-invariant cosmological perturbations at second order. The primordial metric perturbation, zeta, describing the perturbed expansion of uniform-density hypersurfaces on large scales is related to scalar field perturbations on unperturbed (spatially-flat) hypersurfaces at first- and second-order. The bispectrum of the metric perturbation is thus composed of (i) a local contribution due to the second-order gauge-transformation, and (ii) the instrinsic bispectrum of the field perturbations on spatially flat hypersurfaces. We generalise previous results to allow for scale-dependence of the scalar field power spectra and correlations that can develop between fields on super-Hubble scales.

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