Rainbow tensor model with enhanced symmetry and extreme melonic dominance
Rainbow tensor model with enhanced symmetry and extreme melonic dominance
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DOI：
10.1016/j.physletb.2017.05.043
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发表时间：
2017-03
影响因子：
4.4
通讯作者：
H. Itoyama;A. Mironov;A. Morozov
中科院分区：
文献类型：
--
作者：
H. Itoyama;A. Mironov;A. Morozov
本文介绍并简要分析了平面图全是美仑图的彩虹张量模型。与矩阵模型相比，这导致了largeNlimit的相当大的简化：特别是，在这个极限中穿着的只是传播子，这导致了多点传播子的Schwinger-Dyson方程的过度简化的封闭集合。本文简要地讨论了Ward恒等式、谱曲线的替代和AMM/EO拓扑递归以及它们与Connes-Kreimer理论和森林公式的可能联系。
We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the largeNlimit 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.