Vincent Rivasseau

collaborators

3 papers

math-ph2026

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…

math-ph2026

Multiscale Loop Vertex Expansion for Cumulants, the $T_{3}^{4}$ Model

Vincent Rivasseau

We construct cumulants up to a finite order of a tensor field theory perturbed by a quartic term, nicknamed the $T_{3}^{4}$ model. The method we use is the multi-scale loop vertex expa…

math.PR2025

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…

Variational Loop Vertex Expansion for Cumulants

Multiscale Loop Vertex Expansion for Cumulants, the T34​ Model

Loop Vertex Representation for Cumulants, Part II: Weingarten Calculus

Multiscale Loop Vertex Expansion for Cumulants, the $T_{3}^{4}$ Model