Cosmological Perturbation Theory with Trinity of Scalar Fields

Abstract: This paper explicitly develops the three-field cosmological perturbation theory with a flat field space. We solve the background and perturbation equations numerically for three different cases. First, to check the consistency of the three-field formalism, we investigate an effective two-field model motivated by the two-block case of the multi-giant vacua matrix Inflation model. Then we investigate a completely three-field case without any direct interaction between different fields, and finally, a three-field case containing direct interactions. The power spectra of the curvature perturbations in all cases are computed numerically, and the effects of rapid turn in the power spectrum are highlighted.