Abstract
In the presence of a short-distance cutoff, the choice of a vacuum state in an inflating, non-de Sitter universe is unavoidably ambiguous. The ambiguity is related to the time at which initial conditions for the mode functions are specified and to the way in which the expansion of the universe affects those initial conditions. In this paper we study the imprint of these uncertainties on the predictions of inflation. We parametrize the most general set of possible vacuum initial conditions by two phenomenological variables. We find that the power spectrum generated receives an oscillatory correction, the amplitude of which is proportional to the Hubble parameter over the cutoff scale. In order to further constrain the phenomenological parameters that characterize the vacuum definition, we study gravitational particle production during different cosmological epochs.
Original language | English (US) |
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Pages (from-to) | 75-91 |
Number of pages | 17 |
Journal | Journal of Cosmology and Astroparticle Physics |
Issue number | 12 |
State | Published - Dec 2003 |
Keywords
- Cosmological perturbation theory
- Inflation
- Quantum field theory on curved space
- Trans-Planckian physics
ASJC Scopus subject areas
- Astronomy and Astrophysics