1 citations · 1 across the 5 of their papers we have counts for
5 papers
Multiscale Loop Vertex Expansion for Cumulants, the Model
Vincent Rivasseau
We consider the model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of…
Variational Loop Vertex Expansion for Cumulants
Vincent Rivasseau
Extending recent advances on constructive quantum field theory, we study cumulants of one of the simplest matrix models in the regime of bounded rank. We analyze both ordinary cumu…
Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus
Vincent Rivasseau
In this paper we construct scalar cumulants for stable random matrix models with single trace interactions of arbitrarily high even order by Weingarten calculus. We obtain explicit…
The Tensor Track VIII: Stochastic Analysis
V. Rivasseau
Assuming some familiarity with quantum field theory and with the tensor track approach that we presented in the previous series Tensor Track I-VII, we provide, as usual, the develo…
Multiscale Loop Vertex Expansion for Cumulants, the Model
Vincent Rivasseau
We construct cumulants up to a finite order of a tensor field theory perturbed by a quartic term, nicknamed the model. The method we use is the multi-scale loop vertex expa…