  Within the effective average action approach to quantum gravity, we recover
the low energy effective action as derived in the effective field theory
framework, by studying the flow of possibly non-local form factors that appear
in the curvature expansion of the effective average action. We restrict to the
one-loop flow where progress can be made with the aid of the non-local heat
kernel expansion. We discuss the possible physical implications of the scale
dependent low energy effective action through the analysis of the quantum
corrections to the Newtonian potential.
