Quantum corrections to quartic inflation with a non-minimal coupling:
  metric vs. Palatini
  We study models of quartic inflation where the inflaton field $\phi$ is
coupled non-minimally to gravity, $\xi \phi^2 R$, and perform a study of
quantum corrections in curved space-time at one-loop level. We specifically
focus on comparing results between the metric and Palatini theories of gravity.
Transformation from the Jordan to the Einstein frame gives different results
for the two formulations and by using an effective field theory expansion we
derive the appropriate $\beta$-functions and the renormalisation group improved
effective potentials in curved space for both cases in the Einstein frame. In
particular, we show that in both formalisms the Einstein frame depends on the
order of perturbation theory but that the flatness of the potential is
unaltered by quantum corrections.
