The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

We provide a non-technical overview of recent extensions of renormalization methods and
techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum …

We use hydrodynamical separate universe simulations with the IllustrisTNG model to predict
the local primordial non-Gaussianity (PNG) bias parameters b ϕ and b ϕδ, which enter at …

A bstract Resumming quantum fluctuations at the level of the gravitational path integral is
expected to result in non-local effective actions and thus in a non-trivial momentum …

The causal structure is a quintessential element of continuum spacetime physics and needs
to be properly encoded in a theory of Lorentzian quantum gravity. Established spin foam …

A bstract In the tensorial group field theory (TGFT) approach to quantum gravity, the basic
quanta of the theory correspond to discrete building blocks of geometry. It is expected that …

We provide an informal up‐to‐date review of the tensor track approach to quantum gravity.
In a long introduction we describe in simple terms the motivations for this approach. Then …

This article is preface to the SIGMA special issue''Tensor Models, Formalism and
Applications'', http://www. emis. de/journals/SIGMA/Tensor_Models. html. The issue is a …

A background-independent route towards a universal continuum limit in discrete models of
quantum gravity proceeds through a background-independent form of coarse graining. This …

We study the cosmological implications of interactions between spacetime quanta in the
group field theory (GFT) approach to quantum gravity from a phenomenological perspective …