Work

Multiscale Loop Vertex Expansion for Cumulants, the $ϕ^4_2$ Model

Year: 2026

Type: preprint

Abstract: We consider the $ϕ^4_2$ model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of constructive field theory. We prove analyticity and Borel summability of the cumulants up to a finite order.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.27188

Author: Rivasseau, Vincent

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Institut National de Physique Nucléaire et de Physique des Particules, Laboratoire de Physique des 2 Infinis Irène Joliot-Curie

Language: English

Topic: p-Adic Analysis and Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204591680

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