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 …

This topical review gives a comprehensive overview and assessment of recent results in causal
dynamical triangulations, a modern formulation of lattice gravity, whose aim is to obtain a …

The construction of a consistent theory of quantum gravity is a problem in theoretical
physics that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial …

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

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

We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity
by performing the path integral over geometries with a causal structure. The model can be …

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 …

Fruitful ideas on how to quantize gravity are few and far between. In this paper, we give a
complete description of a recently introduced non-perturbative gravitational path integral …

We construct a well-defined regularized path integral for Lorentzian quantum gravity in terms
of dynamically triangulated causal space-times. Each Lorentzian geometry and its action …

The dynamical generation of a four-dimensional classical universe from nothing but
fundamental quantum excitations at the Planck scale is a long-standing challenge to theoretical …