Email this article Notes on the Syk Model in Real Time
- Authors: Aref’eva I.Y.1, Volovich I.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 197, No 2 (2018)
- Pages: 1650-1662
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172001
- DOI: https://doi.org/10.1134/S0040577918110090
- ID: 172001
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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.
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About the authors
I. Ya. Aref’eva
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: arefeva@mi-ras.ru
Russian Federation, Moscow
I. V. Volovich
Steklov Mathematical Institute of Russian Academy of Sciences
Email: arefeva@mi-ras.ru
Russian Federation, Moscow
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