Trans-Planckian Physics from a Nonlinear Dispersion Relation

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dc.creatorJoras, S. E.
dc.creatorMarozzi, G.
dc.date2008-08-08
dc.date2009-01-16
dc.date.accessioned2026-07-07T12:46:28Z
dc.date.available2026-07-07T12:46:28Z
dc.descriptionWe study a particular nonlinear dispersion relation $ω_p(k_p)$ -- a series expansion in the physical wavenumber $k_p$ -- for modeling 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 semianalytical 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 $k\gg aH$. 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.
dc.description11 pages, 10 figures. Some changes made, comments and references added, a figure added, typos corrected, conclusions unchanged, version accepted for pubblication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0808.1262
dc.identifierhttp://arxiv.org/abs/0808.1262
dc.identifierPhys.Rev.D79:023514,2009
dc.identifierdoi:10.1103/PhysRevD.79.023514
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221391
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleTrans-Planckian Physics from a Nonlinear Dispersion Relation
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