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Title: Corrected loop vertex expansion for Φ{sub 2}{sup 4} theory

This paper is an extended erratum to Rivasseau and Wang [J. Math. Phys. 53, 042302 (2012); e-print http://arxiv.org/abs/1104.3443 [math-ph]], in which the classic construction and Borel summability of the ϕ{sub 2}{sup 4} Euclidean quantum field theory was revisited combining a multi-scale analysis with the constructive method called Loop Vertex Expansion (LVE). Unfortunately we discovered an important error in the method of Rivasseau and Wang [J. Math. Phys. 53, 042302 (2012); e-print http://arxiv.org/abs/1104.3443 [math-ph]]. We explain the mistake, and provide a new, correct construction of the ϕ{sub 2}{sup 4} theory according to the LVE.
Authors:
;  [1]
  1. Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, F-91405 Orsay Cedex (France)
Publication Date:
OSTI Identifier:
22405049
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EUCLIDEAN SPACE; EXPANSION; QUANTUM FIELD THEORY; VERTEX FUNCTIONS