Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model
Mathematical Physics
2026-05-04 v4 High Energy Physics - Theory
math.MP
Abstract
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 expansion. We prove analyticity and Borel summability of the cumulants up to finite order.
Keywords
Cite
@article{arxiv.2211.07233,
title = {Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model},
author = {Vincent Rivasseau},
journal= {arXiv preprint arXiv:2211.07233},
year = {2026}
}
Comments
The paper is withdrawn due to the mistake in the proof of Theorem 2