Speaker
Description
In scenarios of physical interest in Loop Quantum Cosmology, with a preinflationary epoch where the kinetic energy of the inflaton dominates, the analytic study of the dynamics of the primordial fluctuations has already been carried out by neglecting the inflaton potential. In this talk, we develop approximations to investigate the influence of the potential as the period of kinetic dominance gives way to the inflationary regime. Treating the potential as a perturbation, we discuss how it modifies the effective mass that dictates the dynamics of the scalar perturbations, within the framework of hybrid Loop Quantum Cosmology. Compared to previous works, we introduce a transition period that connects the kinetically dominated regime with inflation, as well as the main modifications coming from a slow-roll correction to a purely de Sitter evolution during the inflationary period. Starting from initial conditions given by a non-oscillating vacuum determined by an asymptotic Hamiltonian diagonalization, we then analytically compute the primordial power spectrum for a quadratic inflation potential. We finally explain the corrections that the inflaton potential produces in this spectrum.
