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Curvature perturbation spectrum from false vacuum inflation · Around

2008

Curvature perturbation spectrum from false vacuum inflation

Gong, Jinn-Ouk, Sasaki, Misao

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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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Then

A. R. Liddle and D. H. Lyth, “Cosmological inflation and large-scale structure,” Cambridge, UK: Univ. Pr. (2000) 400 p
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