Computation of inflationary cosmological perturbations in chaotic inflationary scenarios using the phase-integral method
arXiv:0904.4295 · doi:10.1103/PhysRevD.79.103502
Abstract
The phase-integral approximation devised by Fröman and Fröman, is used for computing cosmological perturbations in the quadratic chaotic inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to fifth order of the phase-integral approximation. We show that, the phase integral gives a very good approximation for the shape of the power spectra associated with scalar and tensor perturbations as well as the spectral indices. We find that the accuracy of the phase-integral approximation compares favorably with the numerical results and those obtained using the slow-roll and uniform approximation methods.
21 pages, RevTex, to appear in Phys. Rev D
References in corpus (5)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Latest inflation model constraints from cosmic microwave background measurements
- Method of comparison equations for cosmological perturbations
- Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method