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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 159–180 (Mi tm3242)  
This article is cited in 8 scientific papers (total in 8 papers)

Optimal Gaussian approximation in the fluctuating field theory

N. B. Melnikovab, B. I. Reserc

a Moscow State University, Moscow, Russia
b Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, Russia
c Institute of Metal Physics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (317 kB) Citations (8)
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Abstract: We consider the problem of calculating the partition function given by the functional integral over an external field that fluctuates in space and in “time” $\tau\in[0,1/T]$ ($T$ is temperature). A method is presented for calculating such integrals with the help of the Gaussian approximation that takes into account dynamics and non-locality of the fluctuations. The method is based on the free energy minimum principle.
Received in February 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 149–170
DOI: https://doi.org/10.1134/S0081543810040127
Bibliographic databases:
Document Type: Article
UDC: 517.972+517.958+530.145+517.98
Language: Russian
Citation: N. B. Melnikov, B. I. Reser, “Optimal Gaussian approximation in the fluctuating field theory”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 159–180; Proc. Steklov Inst. Math., 271 (2010), 149–170
Citation in format AMSBIB
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\by N.~B.~Melnikov, B.~I.~Reser
\paper Optimal Gaussian approximation in the fluctuating field theory
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 271
\pages 159--180
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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