  We consider the double-scaling limit in matrix models for two-dimensional
quantum gravity, and establish the nonperturbative functional Renormalization
Group as a novel technique to compute the corresponding interacting fixed point
of the Renormalization Group flow. We explicitly evaluate critical exponents
and compare to the exact results. The functional Renormalization Group method
allows a generalization to tensor models for higher-dimensional quantum gravity
and to group field theories. As a simple example how this method works for such
models, we compute the leading-order beta function for a colored matrix model
that is inspired by recent developments in tensor models.
