Multiscale Loop Vertex Expansion for Cumulants, the T₃⁴ Model

2022/11/14 by Vincent Rivasseau, Rivasseau, Vincent
Mathematics · Physics and Astronomy · #81T08 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2211.07233

openalex publication_date 2022/11/14 · openalex created_date 2022/11/23 · openalex updated_date 2026/07/28

Abstract

We construct cumulants up to a finite order of a tensor field theory perturbed by a quartic term, nicknamed the T₃⁴ 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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