Renormalization-group inflationary scalar electrodynamics and SU(5)
  scenarios confronted with Planck2013 and BICEP2 results
  The possibility to construct inflationary models for the
renormalization-group improved potentials corresponding to scalar
electrodynamics and to $SU(2)$ and $SU(5)$ models is investigated. In all
cases, the tree-level potential, which corresponds to the cosmological constant
in the Einstein frame, is seen to be non-suitable for inflation. Rather than
adding the Hilbert-Einstein term to the action, quantum corrections to the
potential, coming from to the RG-equation, are included. The inflationary
scenario is analyzed with unstable de Sitter solutions which correspond to
positive values of the coupling function, only. We show that, for the finite
$SU(2)$ model and $SU(2)$ gauge model, there are no de Sitter solutions
suitable for inflation, unless exit from it occurs according to some weird,
non-standard scenarios. Inflation is realized both for scalar electrodynamics
and for $SU(5)$ RG-improved potentials, and the corresponding values of the
coupling function are seen to be positive. It is shown that, for quite
reasonable values of the parameters, the inflationary models obtained both from
scalar electrodynamics and from the $SU(5)$ RG-improved potentials, are in good
agreement with the most recent observational data coming from the Planck2013
and BICEP2 collaborations.
