Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …

Colored tensor models have recently burst onto the scene as a promising conceptual and
computational tool in the investigation of problems of random geometry in dimension three …

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 …

Tensor models generalize random matrix models in yielding a theory of dynamical
triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a …

We identify a class of condensate states in the group field theory (GFT) formulation of
quantum gravity that can be interpreted as macroscopic homogeneous spatial geometries …

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 …

We prove that an integrated version of the Gurau colored tensor model supplemented with
the usual Bosonic propagator on U (1) 4 is renormalizable to all orders in perturbation …

We address in this paper the issue of renormalizability for SU (2) Tensorial Group Field
Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove 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 …