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Combinatorial Hopf algebraic description of the multiscale renormalization in quantum field theory
Thomas Krajewski, Vincent Rivasseau, Adrian Tanasa
We define in this paper several Hopf algebras describing the combinatorics of the so-called multi-scale renormalization in quantum field theory. After a brief recall of the main ma…
The Tensor Track: an Update
Vincent Rivasseau
The tensor track approach to quantum gravity is based on a new class of quantum field theories, called tensor group field theories (TGFTs). We provide a brief review of recent prog…
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions
Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau
We tackle the issue of renormalizability for Tensorial Group Field Theories (TGFT) including gauge invariance conditions, with the rigorous tool of multi-scale analysis, to prepare…
Random tensor models in the large N limit: Uncoloring the colored tensor models
Valentin Bonzom, Razvan Gurau, Vincent Rivasseau
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 1/N expansi…