A covariant approach to general field space metric in multi-field inflation
Cosmology and Nongalactic Astrophysics
2012-01-17 v3 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1101.4809,
title = {A covariant approach to general field space metric in multi-field inflation},
author = {Jinn-Ouk Gong and Takahiro Tanaka},
journal= {arXiv preprint arXiv:1101.4809},
year = {2012}
}
Comments
(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