6 papers
Remarks on a melonic field theory with cubic interaction
Dario Benedetti, Nicolas Delporte
We revisit the Amit-Roginsky (AR) model in the light of recent studies on Sachdev-Ye-Kitaev (SYK) and tensor models, with which it shares some important features. It is a model of…
Tensor Field Theories: Renormalization and Random Geometry
Nicolas Delporte
This thesis focuses on renormalization of quantum field theories. Its first part considers three tensor models in three dimensions, a Fermionic quartic with tensors of rank-3 and t…
The Tensor Track VI: Field Theory on Random Trees and SYK on Random Unicyclic Graphs
Nicolas Delporte, Vincent Rivasseau
We review the paper [arXiv:1905.12783] and discuss some comments about SYK on random unicycle.
Perturbative Quantum Field Theory on Random Trees
Nicolas Delporte, Vincent Rivasseau
In this paper we start a systematic study of quantum field theory on random trees. Using precise probability estimates on their Galton-Watson branches and a multiscale analysis, we…
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
Dario Benedetti, Nicolas Delporte
Perturbing the standard Gross-Neveu model for fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original symmetry t…
The Tensor Track V: Holographic Tensors
Nicolas Delporte, Vincent Rivasseau
We review the fast developing subject of tensor models for the NAdS/NCFT holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) model and then…