Computation of the Power Spectrum in Chaotic $1/4\lambda {\varphi }^4$ Inflation

Abstract

The phase-integral approximation devised by Fröman and Fröman, is used for computing cosmological perturbations in the quartic chaotic inflationary model. The phase-integral formulas for the scalar power spectrum are explicitly obtained up to fifth order of the phase-integral approximation. As in previous reports [1-3], we point out 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.

Accepted in JCAP (15 pages, 5 figures). arXiv admin note: substantial text overlap with arXiv:0904.4295

References in corpus (8)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• ${\varphi }^4$ inflation is not excluded
• Method of comparison equations for cosmological perturbations
• Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method
• An update on single field models of inflation in light of WMAP7
• Computation of inflationary cosmological perturbations in chaotic inflationary scenarios using the phase-integral method

Cited by in corpus (2)

• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Logarithmic divergences in the $k$-inflationary power spectra computed through the uniform approximation