4.6 Article

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

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2011/03/015

Keywords

inflation; physics of the early universe; cosmological perturbation theory

Funding

  1. Korean-CERN fellowship
  2. Japanese Society for Promotion of Science [21244033]
  3. Global COE Program The Next Generation of Physics, Spun from Universality and Emergence
  4. MEXT [21111006, 22111507]
  5. Grants-in-Aid for Scientific Research [22111507] Funding Source: KAKEN

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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 been known before.

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