In the inflationary cosmology it occurs frequently that the inflaton field is trapped in a local, transient minimum with nonzero vacuum energy. The difficulty regarding the curvature perturbation produced during such a stage is that classically the inflaton does not move so that the comoving hypersurfaces are not well defined at linear order in the scalar field perturbation. In this paper, assuming a mechanism of trapping which resembles a high temperature correction to the potential, we explicitly calculate for the first time the resulting power spectrum of the curvature perturbation by evaluating the quantum two-point correlation function directly. The spectrum is steeply blue with the spectral index nR = 4.
|Number of pages||3|
|Journal||AIP Conference Proceedings|
|State||Published - 2008|
|Event||16th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY08 - Seoul, Korea, Republic of|
Duration: 16 Jun 2008 → 21 Jun 2008
- Cosmological perturbation theory