Corrected Loop Vertex Expansion for Phi42 Theory

2014/06/28 by Vincent Rivasseau, Rivasseau, Vincent, Zhituo Wang +1
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1406.7428

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 phi⁴₂ 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 phi⁴₂ theory according to the LVE.

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