Rainbow tensor model with enhanced symmetry and extreme melonic dominance

Rainbow tensor model with enhanced symmetry and extreme melonic dominance

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 oversimplifie...

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Main Authors: H. Itoyama, A. Mironov, A. Morozov
Format: Article
Language:English
Published: Elsevier 2017-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317304069
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spelling doaj-d55c4d7883904968a6fe38caddfc566d2020-11-25T00:55:18ZengElsevierPhysics Letters B0370-26932017-08-01771180188Rainbow tensor model with enhanced symmetry and extreme melonic dominanceH. Itoyama0A. Mironov1A. Morozov2Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan; Osaka City University Advanced Mathematical Institute (OCAMI), 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, JapanI.E. Tamm Theory Department, Lebedev Physics Institute, Leninsky prospect, 53, Moscow 119991, Russia; ITEP, B. Cheremushkinskaya, 25, Moscow, 117259, Russia; Institute for Information Transmission Problems, Bolshoy Karetny per. 19, build. 1, Moscow 127051, Russia; Corresponding author.ITEP, B. Cheremushkinskaya, 25, Moscow, 117259, RussiaWe 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.http://www.sciencedirect.com/science/article/pii/S0370269317304069
collection DOAJ
language English
format Article
sources DOAJ
author H. Itoyama
A. Mironov
A. Morozov
spellingShingle H. Itoyama
A. Mironov
A. Morozov
Rainbow tensor model with enhanced symmetry and extreme melonic dominance
Physics Letters B
author_facet H. Itoyama
A. Mironov
A. Morozov
author_sort H. Itoyama
title Rainbow tensor model with enhanced symmetry and extreme melonic dominance
title_short Rainbow tensor model with enhanced symmetry and extreme melonic dominance
title_full Rainbow tensor model with enhanced symmetry and extreme melonic dominance
title_fullStr Rainbow tensor model with enhanced symmetry and extreme melonic dominance
title_full_unstemmed Rainbow tensor model with enhanced symmetry and extreme melonic dominance
title_sort rainbow tensor model with enhanced symmetry and extreme melonic dominance
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2017-08-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S0370269317304069
work_keys_str_mv AT hitoyama rainbowtensormodelwithenhancedsymmetryandextrememelonicdominance
AT amironov rainbowtensormodelwithenhancedsymmetryandextrememelonicdominance
AT amorozov rainbowtensormodelwithenhancedsymmetryandextrememelonicdominance
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