[2211.07233] Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematical Physics arXiv:2211.07233 (math-ph) This paper has been withdrawn by Vincent Rivasseau [Submitted on 14 Nov 2022 ( v1 ), last revised 1 May 2026 (this version, v4)] Title: Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model Authors: Vincent Rivasseau View a PDF of the paper titled Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model, by Vincent Rivasseau No PDF available, click to view other formats 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. Comments: The paper is withdrawn due to the mistake in the proof of Theorem 2 Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) MSC classes: 81T08 Cite as: arXiv:2211.07233 [math-ph] (or arXiv:2211.07233v4 [math-ph] for this version) https://doi.org/10.48550/arXiv.2211.07233 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Vincent Rivasseau [ view email ] [v1] Mon, 14 Nov 2022 09:43:33 UTC (33 KB) [v2] Wed, 22 May 2024 18:14:08 UTC (67 KB) [v3] Tue, 2 Jul 2024 06:35:35 UTC (49 KB) [v4] Fri, 1 May 2026 13:08:16 UTC (1 KB) (withdrawn) Full-text links: Access Paper: View a PDF of the paper titled Multiscale Loop Vertex Expansion for Cumulants, the $T_3^4$ Model, by Vincent Rivasseau Withdrawn No license for this version due to withdrawn Current browse context: math-ph < prev | next > new | recent | 2022-11 Change to browse by: hep-th math math.MP References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from