A note on Sachdev–Ye–Kitaev like model without random coupling
We study a description of the large N limit of the Sachdev–Ye–Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory. We show that, under a certain con...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-01-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032131730370X |
| _version_ | 1818651991158554624 |
|---|---|
| author | Takahiro Nishinaka Seiji Terashima |
| author_facet | Takahiro Nishinaka Seiji Terashima |
| author_sort | Takahiro Nishinaka |
| collection | DOAJ |
| description | We study a description of the large N limit of the Sachdev–Ye–Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory. We show that, under a certain condition, the correlation functions of fermions reproduce those of the SYK model with a temperature dependent coupling constant in the large N limit. We also discuss a supersymmetric generalization of our quantum mechanical model. As a byproduct, we develop an efficient way of estimating the large N behavior of correlators in the SYK model. |
| first_indexed | 2024-12-17T02:14:54Z |
| format | Article |
| id | doaj.art-e54f51c5924942fcb14f28d49f6928e1 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-17T02:14:54Z |
| publishDate | 2018-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-e54f51c5924942fcb14f28d49f6928e12022-12-21T22:07:26ZengElsevierNuclear Physics B0550-32131873-15622018-01-01926C32133410.1016/j.nuclphysb.2017.11.012A note on Sachdev–Ye–Kitaev like model without random couplingTakahiro NishinakaSeiji TerashimaWe study a description of the large N limit of the Sachdev–Ye–Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory. We show that, under a certain condition, the correlation functions of fermions reproduce those of the SYK model with a temperature dependent coupling constant in the large N limit. We also discuss a supersymmetric generalization of our quantum mechanical model. As a byproduct, we develop an efficient way of estimating the large N behavior of correlators in the SYK model.http://www.sciencedirect.com/science/article/pii/S055032131730370X |
| spellingShingle | Takahiro Nishinaka Seiji Terashima A note on Sachdev–Ye–Kitaev like model without random coupling Nuclear Physics B |
| title | A note on Sachdev–Ye–Kitaev like model without random coupling |
| title_full | A note on Sachdev–Ye–Kitaev like model without random coupling |
| title_fullStr | A note on Sachdev–Ye–Kitaev like model without random coupling |
| title_full_unstemmed | A note on Sachdev–Ye–Kitaev like model without random coupling |
| title_short | A note on Sachdev–Ye–Kitaev like model without random coupling |
| title_sort | note on sachdev ye kitaev like model without random coupling |
| url | http://www.sciencedirect.com/science/article/pii/S055032131730370X |
| work_keys_str_mv | AT takahironishinaka anoteonsachdevyekitaevlikemodelwithoutrandomcoupling AT seijiterashima anoteonsachdevyekitaevlikemodelwithoutrandomcoupling AT takahironishinaka noteonsachdevyekitaevlikemodelwithoutrandomcoupling AT seijiterashima noteonsachdevyekitaevlikemodelwithoutrandomcoupling |