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

Jinn-Ouk Gong
(
- CERN
)
,
Takahiro Tanaka
(
- Kyoto U., Yukawa Inst., Kyoto
)

Jan, 2011

18 pages

Published in:

JCAP 03 (2011) 015,
JCAP 02 (2012) E01 (erratum)

e-Print:

1101.4809 [astro-ph.CO]

DOI:

Report number:

CERN-PH-TH-2011-012,
YITP-11-9

View in:

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Abstract: (arXiv)

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.

Note:

(v1) 18 pages, 1 figure/ (v2) references added, typos corrected, to appear in Journal of Cosmology and Astroparticle Physics/ (v3) typos in (54), (62) and (64) corrected

covariance
non-Gaussianity
curvature
inflation: multiple field
action
metric

References(39)

Figures(1)

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