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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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
20 January 2017
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| In: |
Nuclear physics. B, Particle physics
Year: 2017, Volume: 916, Pages: 386-401$z16 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2017.01.015 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysb.2017.01.015 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0550321317300299 
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| Author Notes: | Razvan Gurau |
| Summary: | 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. |
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| Item Description: | Gesehen am 27.05.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2017.01.015 |