Revisiting non-Gaussianity of multiple-field inflation from the field equation

Details Revisiting non-Gaussianity of multiple-field inflation from the field equation Revisiting non-Gaussianity of multiple-field inflation from the field equation

2008-04-03

arxiv.org/abs/0804.0574v1

Astronomy and Astrophysics

Astrophysics

19 pages

Scientific paper

In the present paper, we study the non-Gaussianity of multiple-field inflation model using the method of the field equation. We start from reviewing the background and the perturbation theory of multiple-field inflation, and then derive the Klein-Gorden equation for the perturbations at second order. Afterward, we calculate the tree-level bispectrum of the fields' perturbations and finally give the corresponding parameter $f_{NL}$ for the curvature perturbation $\zeta$ in virtue of the $\delta N$ formalism. We also compare our result with the one already obtained from the Lagrangian formalism, and find they are consistent. This work may help us understand perturbation theory of inflation more deeply.

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