Trans-Planckian Physics from a Non-Linear Dispersion Relation
Aug, 2008Citations per year
Abstract: (arXiv)
We study a particular a non-linear dispersion relation -- a series expansion in the physical wavenumber -- for modelling first-order corrections in the equation of motion of a test scalar field in a de Sitter spacetime from Trans-Planckian Physics in cosmology. Using both a numerical approach and a semi-analytical one, we show that the WKB approximation previously adopted in the literature should be used with caution, since it holds only when the comoving wavenumber . We determine the amplitude and behavior of the corrections on the power spectrum for this test field. Furthermore, we consider also a more realistic model of inflation, the power-law model, using only a numerical approach to determine the corrections on the power spectrum.- 98.70.Vc
- 98.80.Cq
- space-time: de Sitter
- field theory: scalar
- dispersion relation: nonlinear
- WKB approximation
- power spectrum
- inflation
- effective potential
- numerical calculations
References(26)
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