We study the non-Gaussianity from the bispectrum in multi-field inflation models with a general kinetic term. The models include multi-field K-inflation and multi-field Dirac-Born-Infeld (DBI) inflation as special cases. We find that, in general, the sound speeds for the adiabatic and entropy perturbations are different and they can be smaller than 1. Then the non-Gaussianity can be enhanced. Multi-field DBI inflation is shown to be a special case where both sound speeds are the same due to a special form of the kinetic term(Langlois et al 2008 Preprint0804.3139 [hep-th]). We derive the exact second-and third-order actions including metric perturbations. In the small sound speed limit and at leading order in the slow-roll expansion, we derive the three-point function for the curvature perturbation which depends on both adiabatic and entropy perturbations. The contribution from the entropy perturbations has a different momentum dependence if the sound speeds for the entropy and adiabatic perturbations are different, which provides a possibility to distinguish multi-field models from single-field models. On the other hand, in the multi-field DBI case, the contribution from the entropy perturbations has the same momentum dependence as the pure adiabatic contributions and it only changes the amplitude of the three-point function(Langlois et al 2008 Preprint0804.3139 [hep-th]). This could help to ease the constraints on the DBI-inflation models.
- Cosmological perturbation theory
- String theory and cosmology
ASJC Scopus subject areas
- Astronomy and Astrophysics