Corrected Loop Vertex Expansion for Phi42 Theory
Mathematical Physics
2015-05-22 v2 math.MP
Abstract
This paper is an extended erratum to J. Math. Phys.53, 042302 (2012) and arXiv:1104.3443, in which the classic construction and Borel summability of the phi^4_2 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 J. Math. Phys.53, 042302 (2012). We explain the mistake, and provide a new, correct construction of the phi^4_2 theory according to the LVE.
Cite
@article{arxiv.1406.7428,
title = {Corrected Loop Vertex Expansion for Phi42 Theory},
author = {Vincent Rivasseau and Zhituo Wang},
journal= {arXiv preprint arXiv:1406.7428},
year = {2015}
}
Comments
20 pages, 11 figures, replaces arXiv:1104.3443 [math-ph]