Scale-dependent power spectrum from initial excited-de Sitter modes

2014/02/28 by E. Yusofi, M. Mohsenzadeh · 23 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #CMB cold spot #Cosmic microwave background #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Excited state #Galaxies: Formation, Evolution, Phenomena #Geometry #Inflation (cosmology) #Inflaton #Mathematical physics #Mathematics #Physics #Planck #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scale invariance #Spectral density #Statistics #Universe #astro-ph.CO

paper · pdf · doi:10.1007/jhep09(2014)020

published in Journal of High Energy Physics 2014(9) (Springer Nature) · 16 pages, Title slightly modified, Back-reaction added,Some references added, Published open access in JHEP

openalex publication_date 2014/09/01 · arxiv created 2014/09/26 · arxiv updated 2014/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we calculate corrections of scalar perturbations spectra resulting from excited-de Sitter modes as the nontrivial initial states. To obtain these modes, we consider the asymptotic expansion of the Hankel functions up to the higher order of (1)/(kτ) . Actually the Planck and WMAP data impose some constrains on the Hankel function index. These observational constraints and back-reaction effects stimulate us to use excited-de Sitter modes. Finally, we nominate these nontrivial general solutions as the fundamental mode functions during inflation and we calculate the corrected form of scale-dependent power spectrum with trans-Planckian corrections, and in de Sitter space-time limit the results reduce to the scale-invariant power spectrum.

Citations

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Cited by

• An asymptotic method for selection of inflationary modes
• Higher order corrections to asymptotic-de Sitter inflation
• Inflation in Non-de Sitter Background with Coherent States
• Large angular scale CMB anisotropy from an excited initial mode