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 …

Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

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 …

In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a
functional renormalization group approach that disentangles dynamical metric fluctuations …

We introduce a new basis on the state space of nonperturbative quantum gravity. The states
of this basis are linearly independent, are well defined in both the loop representation and …

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 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 …

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

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 …

Quantum gravity is the missing piece in our understanding of the fundamental interactions
today. Given recent observational breakthroughs in gravity, providing a quantum theory for …