  We investigate a nonperturbative formulation of quantum gravity defined via
Euclidean dynamical triangulations (EDT) with a non-trivial measure term in the
path integral. We are motivated to revisit this older formulation of dynamical
triangulations by hints from renormalization group approaches that gravity may
be asymptotically safe and by the emergence of a semiclassical phase in causal
dynamical triangulations (CDT). We study the phase diagram of this model and
identify the two phases that are well known from previous work: the branched
polymer phase and the collapsed phase. We verify that the order of the phase
transition dividing the branched polymer phase from the collapsed phase is
almost certainly first-order. The nontrivial measure term enlarges the phase
diagram, allowing us to explore a region of the phase diagram that has been
dubbed the crinkled region. Although the collapsed and branched polymer phases
have been studied extensively in the literature, the crinkled region has not
received the same scrutiny. We find that the crinkled region is likely a part
of the collapsed phase with particularly large finite-size effects.
Intriguingly, the behavior of the spectral dimension in the crinkled region at
small volumes is similar to that of CDT, as first reported in arXiv:1104.5505,
but for sufficiently large volumes the crinkled region does not appear to have
4-dimensional semiclassical features. Thus, we find that the crinkled region of
the EDT formulation does not share the good features of the extended phase of
CDT, as we first suggested in arXiv:1104.5505. This agrees with the recent
results of arXiv:1307.2270, in which the authors used a somewhat different
discretization of EDT from the one presented here.
