Computation of inflationary cosmological perturbations in chaotic inflationary scenarios using the phase-integral method

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.

arXiv comment21 pages, RevTex, to appear in Phys. Rev D

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• Semiclassical analysis of the Starobinsky inflationary model
• Computation of the Power Spectrum in Chaotic $1/4\lambda {\varphi }^4$ Inflation
• Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods
• Semiclassical analysis of the tensor power spectrum in the Starobinsky inflationary model