Abstract:
An analogy is noted between N×NN×N matrix models of quantum field theory in the limit N→∞N→∞ and models of disordered spin systems in statistical physics. The replica method is used to establish the existence in the large NN limit for the
matrix model φ4Dφ4D of a new phase analogous to the spin glass phase in disordered spin systems.
Citation:
I. Ya. Aref'eva, “Quantum field theory models with a large number of colors and the statistical physics of disordered systems”, TMF, 54:1 (1983), 154–160; Theoret. and Math. Phys., 54:1 (1983), 97–101
\Bibitem{Are83}
\by I.~Ya.~Aref'eva
\paper Quantum field theory models with a~large number of colors and the statistical physics of disordered systems
\jour TMF
\yr 1983
\vol 54
\issue 1
\pages 154--160
\mathnet{http://mi.mathnet.ru/tmf4372}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=704015}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 1
\pages 97--101
\crossref{https://doi.org/10.1007/BF01017130}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RF77900013}
Linking options:
https://www.mathnet.ru/eng/tmf4372
https://www.mathnet.ru/eng/tmf/v54/i1/p154
This publication is cited in the following 3 articles:
Yanwen Shang, “Correlation functions in the holographic replica method”, J. High Energ. Phys., 2012:12 (2012)
I.Ya. Aref'eva, A.P. Zubarev, “The master field for the half-planar approximation for large N matrix models and Boltzmann field theory”, Nuclear Physics B - Proceedings Supplements, 49:1-3 (1996), 161
I.Ya. Aref'eva, A.P. Zubarev, “Parquet approximation in large N matrix theories”, Physics Letters B, 386:1-4 (1996), 258
Citation in format AMSBIB
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