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

A bstract 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...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2014; no. 9; p. 1
Main Authors Yusofi, E., Mohsenzadeh, M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2014
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Renormalization Regularization and Renormalons
Space-Time Symmetries
Cosmology of Theories beyond the SM
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2014)020