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

Published 14 Nov 2022 in math-ph, hep-th, and math.MP | (2211.07233v3)

Abstract: We construct cumulants up to a finite order of a tensor field theory perturbed by a quartic term, nicknamed the $T_34$ 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.

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