A New delta N Formalism for Multi-Component Inflation

Details A New delta N Formalism for Multi-Component Inflation A New delta N Formalism for Multi-Component Inflation

2005-06-13

arxiv.org/abs/astro-ph/0506262v2

JCAP 0510:004,2005

Astronomy and Astrophysics

Astrophysics

24 pages, no figure

Scientific paper

10.1088/1475-7516/2005/10/004

The delta N formula that relates the final curvature perturbation on comoving slices to the inflaton perturbation on flat slices after horizon crossing is a powerful and intuitive tool to compute the curvature perturbation spectrum from inflation. However, it is customarily assumed further that the conventional slow-roll condition is satisfied, and satisfied by all components, during horizon crossing. In this paper, we develop a new delta N formalism for multi-component inflation that can be applied in the most general situations. This allows us to generalize the idea of general slow-roll inflation to the multi-component case, in particular only applying the general slow-roll condition to the relevant component. We compute the power spectrum of the curvature perturbation in multi-component general slow-roll inflation, and find that under quite general conditions it is invertible.

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