Rainbow tensor model with enhanced symmetry and extreme melonic dominance

2017/03/31 by H. Itoyama, А. Миронов, A. Mironov +2 · 52 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computer science #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Planar #Propagator #Pure mathematics #Quantum mechanics #Rainbow #Recursion (computer science) #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #hep-th #math-ph #math.MP

paper · pdf · open access · doi:10.1016/j.physletb.2017.05.043

published in Physics Letters B 771, 180-188 (Elsevier BV) · 11 pages

arxiv created 2017/04/26 · openalex publication_date 2017/05/18 · arxiv updated 2017/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are propagators only, which leads to an oversimplified closed set of Schwinger-Dyson equations for multi-point correlators. We briefly touch upon the Ward identities, the substitute of the spectral curve and the AMM/EO topological recursion and their possible connections to Connes-Kreimer theory and forest formulas.

Citations

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