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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317304069 |
| _version_ | 1811326849308950528 |
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| author | H. Itoyama A. Mironov A. Morozov |
| author_facet | H. Itoyama A. Mironov A. Morozov |
| author_sort | H. Itoyama |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T14:56:37Z |
| format | Article |
| id | doaj.art-d55c4d7883904968a6fe38caddfc566d |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-13T14:56:37Z |
| publishDate | 2017-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-d55c4d7883904968a6fe38caddfc566d2022-12-22T02:42:26ZengElsevierPhysics 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 |
| spellingShingle | H. Itoyama A. Mironov A. Morozov Rainbow tensor model with enhanced symmetry and extreme melonic dominance Physics Letters B |
| title | 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_short | Rainbow tensor model with enhanced symmetry and extreme melonic dominance |
| title_sort | rainbow tensor model with enhanced symmetry and extreme melonic dominance |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317304069 |
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