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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 159–180
(Mi tm3242)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm3242 https://www.mathnet.ru/eng/tm/v271/p159
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