Scale-dependent power spectrum from initial excited-de Sitter modes
arXiv:1402.6968 · doi:10.1007/JHEP09(2014)020
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.
16 pages, Title slightly modified, Back-reaction added,Some references added, Published open access in JHEP
References in corpus (43)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Cosmology and the Fate of Dilatation Symmetry
- Nonlinear evolution of cosmological power spectra
- The Trans-Planckian Problem of Inflationary Cosmology
- A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
- Inflationary Cosmology
- On graviton non-Gaussianities during inflation
- A note on inflation and transplanckian physics
- Large-scale structure, the cosmic microwave background, and primordial non-gaussianity
- Inflation as a Probe of Short Distance Physics
- Enhanced Non-Gaussianity from Excited Initial States
- Signatures of Short Distance Physics in the Cosmic Microwave Background
- A generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
- Perturbation spectrum in inflation with cutoff
- Signatures of Initial State Modifications on Bispectrum Statistics
- On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
- Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and Density Fluctuations
- Non-gaussianities and the Stimulated creation of quanta in the inflationary universe
- Trans-Planckian Issues for Inflationary Cosmology
- Cosmological perturbations and short distance physics from Noncommutative Geometry
- Inflation, holography, and the choice of vacuum in de Sitter space
- Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
- Non-Bunch-Davies Initial State Reconciles Chaotic Models with BICEP and Planck
- Effective field theory and non-Gaussianity from general inflationary states
- Inflation with General Initial Conditions for Scalar Perturbations
- Density Perturbations,Gravity Waves and the Cosmic Microwave Background
- Reconciliation of High Energy Scale Models of Inflation with Planck
- Initial state effects on the cosmic microwave background and trans-planckian physics
- A Note on Calm Excited States of Inflation
- Vacuum Choices and the Predictions of Inflation
- An introduction to cosmological inflation
- Resurrecting power law inflation in the light of Planck results
- Non-Gaussianity Consistency Relations, Initial States and Back-reaction
- A comment on trans-Planckian physics in inflationary universe
- Large non-Gaussian Halo Bias from Single Field Inflation
- -vacuum and inflationary bispectrum
- Naturalness in Cosmological Initial Conditions
- Power Spectrum with Auxiliary Fields in de Sitter Space
- Effective Field Theory Approach to Cosmological Initial Conditions: Self-Consistency Bounds and Non-Gaussianities
- Non-Gaussianity as a signature of thermal initial condition of inflation
- Trans-Planckian enhancements of the primordial non-Gaussianities
- Constraint on inflation model from BICEP2 and WMAP 9-year data
Cited by in corpus (10)
- An Asymptotic Method for Selection of Inflationary Modes
- The Effect of -Vacua on the Scalar and Tensor Spectral Indices: Slow-Roll Approximation
- Higher Order Corrections to Asymptotic-de Sitter Inflation
- On the initial conditions of scalar and tensor fluctuations in gravity
- Large Angular Scale CMB Anisotropy from an Excited Initial Mode
- A Covariant Approach for Particle Creation in Non-flat Background
- Inflation in Non-de Sitter Background with Coherent States
- Creation of Non-minimal Coupled Particle in Asymptotic de-Sitter Background
- Reconstruction of initial Asymptotic-de Sitter mode in light of the Planck data
- Accelerating Universe in Terms of Hankel Function Index