The loop vertex expansion is an alternative to the standard Feynman graph expansion which trades the latter for a convergent expansion over trees. In this talk, we present the general framework and apply it to some random matrix models. As a byproduct, we establish analyticity in the coupling in a domain independent of the size of the matrix, as well as Borel summability.
This is based on work in collaboration with V. Rivasseau et V. Sazonov. This talk is based on this arxiv paper.
This video was produced by the University of Münster, as part of the workshop Stochastic Analysis meets QFT – critical theory.
