A covariant approach to general field space metric in multi-field inflation

Details A covariant approach to general field space metric in multi-field inflation A covariant approach to general field space metric in multi-field inflation

2011-01-25

arxiv.org/abs/1101.4809v3

JCAP 1103:015,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

(v1) 18 pages, 1 figure; (v2) references added, typos corrected, to appear in Journal of Cosmology and Astroparticle Physics;

Scientific paper

10.1088/1475-7516/2011/03/015

We present a covariant formalism for general multi-field system which enables us to obtain higher order action of cosmological perturbations easily and systematically. The effects of the field space geometry, described by the Riemann curvature tensor of the field space, are naturally incorporated. We explicitly calculate up to the cubic order action which is necessary to estimate non-Gaussianity and present those geometric terms which have not yet known before.

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