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 …

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 …

Written by the creator of the modern theory of random tensors, this book is the first self-
contained introductory text to this rapidly develo** theory. Starting from notions familiar to …

We define in this paper a class of three-index tensor models, endowed with O (N)^ ⊗ 3 O
(N)⊗ 3 invariance (N being the size of the tensor). This allows to generate, via the usual QFT …

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 bstract We set up the Functional Renormalisation Group formalism for Tensorial Group
Field Theory in full generality. We then apply it to a rank-3 model over U (1) 3, endowed with …

Group field theories can be approached from different angles, coming from different lines of
research in quantum gravity. Historically, their first appearance [2, 3] came as a development …

We provide a brief overview of tensor models and group field theories, focusing on their
main common features. Both frameworks arose in the context of quantum gravity research …

Rank-d tensorial group field theories are quantum field theories (QFTs) defined on a group
manifold G× d, which represent a nonlocal generalization of standard QFT and a candidate …