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Tr. Mat. Inst. Steklova, 2019, Volume 306, Pages 7–15 (Mi tm4031)  

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

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.

DOI: https://doi.org/10.4213/tm4031

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 306, 1–8

Bibliographic databases:

UDC: 517.958:539.12
Received: May 19, 2019
Revised: July 7, 2019
Accepted: July 7, 2019

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, Tr. 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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\paper Quasi-averages in Random Matrix Models
\inbook Mathematical physics and applications
\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
\serial Tr. Mat. Inst. Steklova
\yr 2019
\vol 306
\pages 7--15
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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\crossref{https://doi.org/10.4213/tm4031}
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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