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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 2, Pages 296–310
DOI: https://doi.org/10.4213/tmf9533 (Mi tmf9533) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Notes on the SYK model in real time

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (1120 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf9533
Abstract: We discuss a nonperturbative formulation of the Sachdev–Ye–Kitaev (SYK) model. The partition function of the model can be represented as a well-defined functional integral over Grassmann variables in Euclidean time, but it diverges after the transformation to fermion bilocal fields. We note that the generating functional of the SYK model in real time is well defined even after the transformation to bilocal fields and can be used for nonperturbative investigations of its properties. We study the SYK model in zero dimensions, evaluate its large-$N$ expansion, and investigate phase transitions.
Keywords: disorder model, $1/N$ expansion, Sachdev–Ye–Kitaev model.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research was supported by a grant from the Russian Science Foundation (Project No. 14-50-00005).
Received: 17.01.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 2, Pages 1650–1662
DOI: https://doi.org/10.1134/S0040577918110090
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, TMF, 197:2 (2018), 296–310; Theoret. and Math. Phys., 197:2 (2018), 1650–1662
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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