Cosmic microwave background tests of inflation models

Abstract

The aim of this thesis is to review the test of slow-roll inflation models by using cosmic microwave background (CMB) observations. CMB formation and its anisotropy associated with inflation are considered. In the single-field inflation model, the power spectrum, spectral index and running of the spectral index of the primordial perturbations are computed in both commutative and noncommutative inflation models. In the multi-field inflation model with the supersymmetric potential, the power spectra of the curvature perturbation, the isocurvature perturbation and the correlation are computed.