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arXiv · 1703.04983

Rainbow tensor model with enhanced symmetry and extreme melonic dominance

H. Itoyama·A. Mironov·A. Morozov
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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.

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H. Itoyama, A. Mironov, A. Morozov. 2017-03-15. Rainbow tensor model with enhanced symmetry and extreme melonic dominance. https://doi.org/10.1016/j.physletb.2017.05.043

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