Geodesic
Optimal Gaussian approximation in the fluctuating field theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 159-180

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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. 
@article{TM_2010_271_a11,
     author = {N. B. Melnikov and B. I. Reser},
     title = {Optimal {Gaussian} approximation in the fluctuating field theory},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {159--180},
     publisher = {mathdoc},
     volume = {271},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_271_a11/}
}
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N. B. Melnikov; B. I. Reser. Optimal Gaussian approximation in the fluctuating field theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. II, Tome 271 (2010), pp. 159-180. http://geodesic.mathdoc.fr/item/TM_2010_271_a11/