Starobinsky-like inflation and running vacuum in the context of
  Supergravity
  We describe the primeval inflationary phase of the early Universe within a
quantum field theoretical (QFT) framework that can be viewed as the effective
action of vacuum decay in the early times. Interestingly enough, the model
accounts for the "graceful exit" of the inflationary phase into the standard
radiation regime. The underlying QFT framework considered here is Supergravity
(SUGRA), more specifically an existing formulation in which the
Starobinsky-type inflation (de-Sitter background) emerges from the quantum
corrections to the effective action after integrating out the gravitino fields
in their (dynamically induced) massive phase. We also demonstrate that the
structure of the effective action in this model is consistent with the generic
idea of renormalization group (RG) running of the cosmological parameters,
specifically it follows from the corresponding RG equation for the vacuum
energy density as a function of the Hubble rate, $\rho_{\Lambda}(H)$. Overall
our combined approach amounts to a concrete-model realization of inflation
triggered by vacuum decay in a fundamental physics context which, as it turns
out, can also be extended for the remaining epochs of the cosmological
evolution until the current dark energy era.
