  Tensor models generalize matrix models and generate colored triangulations of
pseudo-manifolds in dimensions $D\geq 3$. The free energies of some models have
been recently shown to admit a double scaling limit, i.e. large tensor size $N$
while tuning to criticality, which turns out to be summable in dimension less
than six. This double scaling limit is here extended to arbitrary models. This
is done by means of the Schwinger--Dyson equations, which generalize the loop
equations of random matrix models, coupled to a double scale analysis of the
cumulants.
