Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model

Vincent Rivasseau

paper

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

arXiv:2211.07233

Abstract

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 expansion. We prove analyticity and Borel summability of the cumulants up to finite order.

The paper is withdrawn due to the mistake in the proof of Theorem 2

Multiscale Loop Vertex Expansion for Cumulants, the T34​ Model

Abstract

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