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 …

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 …

Colored tensor models have been recently shown to admit a large N expansion, whose
leading order encodes a sum over a class of colored triangulations of the D-sphere. The …

Random matrix models generalize to Group Field Theories (GFT) whose Feynman graphs
are dual to higher dimensional topological spaces. The perturbative development of the …

In this paper we generalize the results of Gurau (arxiv: 1011. 2726 [gr-qc], 2011), Gurau and
Rivasseau (arxiv: 1101.4182 [gr-qc], 2011) and derive the full 1/N expansion of colored …

In this paper, we perform the 1/N expansion of the colored three-dimensional Boulatov
tensor model. As in matrix models, we obtain a systematic topological expansion, with …

The 1/N expansion of colored tensor models in arbitrary dimension Page 1 The 1/N expansion
of colored tensor models in arbitrary dimension To cite this article: R. Gurau and V. Rivasseau …

We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at
both kinematical and dynamical level, in terms of a Fock space of spin networks, and show …

We provide a rather extended introduction to the group field theory approach to quantum
gravity, and the main ideas behind it. We present in some detail the GFT quantization of 3d …

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 …