  Quantum fast-roll initial conditions for the inflaton which are different
from the classical fast-roll conditions and from the quantum slow-roll
conditions can lead to inflation that last long enough. These quantum fast-roll
initial conditions for the inflaton allow for kinetic energies of the same
order of the potential energies and nonperturbative inflaton modes with nonzero
wavenumbers. Their evolution starts with a transitory epoch where the redshift
due to the expansion succeeds to assemble the quantum excited modes of the
inflaton in a homogeneous (zero mode) condensate, and the large value of the
Hubble parameter succeeds to overdamp the fast-roll of the redshifted inflaton
modes. After this transitory stage the effective classical slow-roll epoch is
reached. Most of the efolds are produced during the slow-roll epoch and we
recover the classical slow-roll results for the scalar and tensor metric
perturbations plus corrections. These corrections are important, both for
scalar and for tensor perturbations, if scales which are horizon-size today
exited the horizon by the end of the transitory stage and as a consequence the
lower CMB multipoles get suppressed (fast-roll) or enhanced (precondensate).
These two types of corrections can compete and combine in a scale dependent
manner. They arise as natural consequences of the quantum nonperturbative
inflaton dynamics, and provide a consistent and contrastable model for the
origin of the suppression of the quadrupole and for other departures of the low
CMB multipoles from the slow-roll inflation-LambdaCMB model which are to be
contrasted to the TE and EE multipoles and to the forthcoming and future CMB
data.
