The complete 1/N expansion of a SYK–like tensor model
A SYK–like model close to the colored tensor models has recently been proposed [1]. Building on results obtained in tensor models [2], we discuss the complete 1/N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over m...
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Elsevier
2017-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317300299 |
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doaj-4af0af91765d42eeb46ff3d0b26266f42020-11-24T23:13:39ZengElsevierNuclear Physics B0550-32131873-15622017-03-01916C38640110.1016/j.nuclphysb.2017.01.015The complete 1/N expansion of a SYK–like tensor modelRazvan Gurau0Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay, F-91128 Palaiseau, FranceA SYK–like model close to the colored tensor models has recently been proposed [1]. Building on results obtained in tensor models [2], we discuss the complete 1/N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over melonic graphs, and the leading order relevant four point functions are sums over dressed ladder diagrams. We then show that any order in the 1/N series of the two point function can be written solely in term of the leading order two and four point functions. The full 1/N expansion of arbitrary correlations can be obtained by similar methods.http://www.sciencedirect.com/science/article/pii/S0550321317300299 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Razvan Gurau |
| spellingShingle |
Razvan Gurau The complete 1/N expansion of a SYK–like tensor model Nuclear Physics B |
| author_facet |
Razvan Gurau |
| author_sort |
Razvan Gurau |
| title |
The complete 1/N expansion of a SYK–like tensor model |
| title_short |
The complete 1/N expansion of a SYK–like tensor model |
| title_full |
The complete 1/N expansion of a SYK–like tensor model |
| title_fullStr |
The complete 1/N expansion of a SYK–like tensor model |
| title_full_unstemmed |
The complete 1/N expansion of a SYK–like tensor model |
| title_sort |
complete 1/n expansion of a syk–like tensor model |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2017-03-01 |
| description |
A SYK–like model close to the colored tensor models has recently been proposed [1]. Building on results obtained in tensor models [2], we discuss the complete 1/N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over melonic graphs, and the leading order relevant four point functions are sums over dressed ladder diagrams. We then show that any order in the 1/N series of the two point function can be written solely in term of the leading order two and four point functions. The full 1/N expansion of arbitrary correlations can be obtained by similar methods. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321317300299 |
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AT razvangurau thecomplete1nexpansionofasykliketensormodel AT razvangurau complete1nexpansionofasykliketensormodel |
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