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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 7–15
DOI: https://doi.org/10.4213/tm4031 (Mi tm4031) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quasi-averages in Random Matrix Models

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4031
Abstract: We use the Bogoliubov quasi-average approach to studying phase transitions in random matrix models related to a zero-dimensional version of the fermionic SYK model with replicas. We show that in the model with quartic interaction deformed by a quadratic term, there exist either two or four different phases with nonvanishing replica off-diagonal correlation functions.
Received: May 19, 2019
Revised: July 7, 2019
Accepted: July 7, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 1–8
DOI: https://doi.org/10.1134/S0081543819050018
Bibliographic databases:
Document Type: Article
UDC: 517.958:539.12
Language: Russian
Citation: I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 7–15; Proc. Steklov Inst. Math., 306 (2019), 1–8
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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