Large Scale Power and Running Spectral Index in New Old Inflation

Journal Article · Tue Oct 21 04:00:00 EDT 2003 · arXiv.org Repository

DOI:https://doi.org/10.48550/arXiv.hep-ph/0310244· OSTI ID:1441650

Dvali, Gia ^[1]; Kachru, Shamit ^[2]

---

1. New York Univ. (NYU), NY (United States)
2. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

We have proposed a new class of inflationary scenarios in which the first stage of expansion is driven by “old” false vacuum inflation. This ends by nucleation of a bubble, which then further inflates. Unlike the standard slow-roll scenarios the “clock” ending the second inflationary phase is not a local order parameter, but rather the average value of an oscillating scalar field, which locks the system at a saddle point of the potential in a temporary inflationary state. Inflation ends when the amplitude drops below a certain critical point and liberates the system from the false vacuum state. The second stage of inflation has only about 50 e-foldings, a number which is determined entirely by the ratio of the fundamental mass scales, such as the Planck/string scale and the supersymmetry breaking scale. The density perturbations are generated due to fluctuations of moduli-dependent Yukawa couplings. In this note we explore the observable imprints in the fluctuation spectrum of generic cross-couplings in the superpotential and in the Kahler potential. We show that in the presence of generic non-renormalizable interactions in the superpotential between the fluctuating modulus and the oscillating inflation, the amplitude of the density perturbations is exponentially cut-off for sufficiently large wavelengths. With reasonable choices of scales and interactions, this long wavelength cutoff can occur at approximately the current horizon size. The perturbative corrections in the K¨ahler potential give non-trivial potentially observable tilt and a running of the spectral index which is different from the standard inflationary models.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1441650
• Report Number(s): SLAC-PUB--10196
• Journal Information: arXiv.org Repository, Journal Name: arXiv.org Repository Vol. 2003; ISSN 9999-0017
• Publisher: Cornell University
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS