Curvature perturbation spectrum from false vacuum inflation

Details Curvature perturbation spectrum from false vacuum inflation Curvature perturbation spectrum from false vacuum inflation

2008-04-28

arxiv.org/abs/0804.4488v2

JCAP 0901:001,2009

Astronomy and Astrophysics

Astrophysics

(v1) 17 pages, no figure; (v2) 18 pages, more clarifications and discussions added, to appear in JCAP

Scientific paper

10.1088/1475-7516/2009/01/001

In the inflationary cosmology it occurs frequently that the inflaton field is trapped in a local, transient minimum with non-zero 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 n_R = 4.

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