Asymptotic safety describes a scenario in which general relativity can be quantized as a
conventional field theory, despite being nonrenormalizable when expanding it around a fixed …

Causal Dynamical Triangulations in four dimensions provide a background-independent
definition of the sum over geometries in nonperturbative quantum gravity, with a positive …

We discuss divergence problems in models of triangulated random surfaces whose action
is given, for example, by the surface area. Our results uncover new difficulties in quantizing …

We measure the spectral dimension of universes emerging from nonperturbative quantum
gravity, defined through state sums of causal triangulated geometries. While four dimensional …

We provide detailed evidence for the claim that nonperturbative quantum gravity, defined
through state sums of causal triangulated geometries, possesses a large-scale limit in which …

Assuming that the world-sheet sigma-model in the AdS/CFT correspondence is an
integrable quantum field theory, we deduce that there might be new corrections to the spin-chain/…

We review some recent attempts to extract information about the nature of quantum gravity,
with and without matter, by quantum field theoretical methods. More specifically, we work …

This graduate level text describes in a unified fashion the statistical mechanics of random
walks, random surfaces and random higher dimensional manifolds with an emphasis on the …

We find explicitly all multi-loop correlators in the complex matrix model to the leading order
in 1 N and show that they are identical to the even part of the multi-loop correlators in the …

Casimir energies are calculated for quantized fields in cavities with a variety of forms.
Consequences for models of the vacuum state are considered. The possibility of negative mass …