Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders
| Autor: | Adrian Tanasa, Luca Lionni, Valentin Bonzom |
|---|---|
| Přispěvatelé: | Institut Galilée (IG), Université Paris 13 (UP13), Laboratoire de Physique Théorique d'Orsay [Orsay] (LPT), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Bordelais de Recherche en Informatique (LaBRI), Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-Université Sciences et Technologies - Bordeaux 1-Université Bordeaux Segalen - Bordeaux 2, Institut Universitaire de France (IUF), Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.), Institut Galilée ( IG ), Université Paris 13 ( UP13 ), Laboratoire de Physique Théorique d'Orsay [Orsay] ( LPT ), Université Paris-Sud - Paris 11 ( UP11 ) -Centre National de la Recherche Scientifique ( CNRS ), Laboratoire Bordelais de Recherche en Informatique ( LaBRI ), Centre National de la Recherche Scientifique ( CNRS ) -École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-Université Sciences et Technologies - Bordeaux 1-Université Bordeaux Segalen - Bordeaux 2, Institut Universitaire de France ( IUF ), Ministère de l'Éducation nationale, de l’Enseignement supérieur et de la Recherche ( M.E.N.E.S.R. ), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
model: tensor Generalization Feynman graph Syk FOS: Physical sciences Context (language use) fermion: interaction 01 natural sciences [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] symbols.namesake Theoretical physics fermion systems 0103 physical sciences Feynman diagram Tensor 010306 general physics Mathematical Physics Physics flavor 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] two-point function Statistical and Nonlinear Physics Fermion Mathematical Physics (math-ph) color Colored High Energy Physics - Theory (hep-th) random processes symbols n-point function: 4 expansion 1/N Focus (optics) |
| Zdroj: | J.Math.Phys. J.Math.Phys., 2017, 58 (5), pp.052301. ⟨10.1063/1.4983562⟩ J.Math.Phys., 2017, 58 (5), pp.052301. 〈10.1063/1.4983562〉 |
| DOI: | 10.1063/1.4983562⟩ |
| Popis: | International audience; The Sachdev-Ye-Kitaev (SYK) model is a model of $q$ interacting fermions. Gross and Rosenhaus have proposed a generalization of the SYK model which involves fermions with different flavors. In terms of Feynman graphs, those flavors are reminiscent of the colors used in random tensor theory. This gives us the opportunity to apply some modern, yet elementary, tools developed in the context of random tensors to one particular instance of such colored SYK models. We illustrate our method by identifying all diagrams which contribute to the leading and next-to-leading orders of the 2-point and 4-point functions in the large $N$ expansion, and argue that our method can be further applied if necessary. In a second part we focus on the recently introduced Gurau-Witten tensor model and also extract the leading and next-to-leading orders of the 2-point and 4-point functions. This analysis turns out to be remarkably more involved than in the colored SYK model. |
| Databáze: | OpenAIRE |
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