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.

arXiv commentThe paper is withdrawn due to the mistake in the proof of Theorem 2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