Geodesic
Loop renormalization of the Ginzburg–Landau functional in the theory of phase transitions
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 425-432 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the free energy functional in the theory of phase transitions an expression is obtained that takes into account the loop renormalizations in all orders with respect to the $n$-component order parameter and in the first order in the vertices of the functional. It is shown, in particular, that such renormalizations cannot destroy the monotonicity of the functional and, therefore, lead to a phase transition of the first kind. 
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     author = {A. A. Lisyanskii and A. E. Filippov},
     title = {Loop renormalization of the {Ginzburg{\textendash}Landau} functional in the theory of phase transitions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {425--432},
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     volume = {68},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a9/}
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A. A. Lisyanskii; A. E. Filippov. Loop renormalization of the Ginzburg–Landau functional in the theory of phase transitions. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 425-432. http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a9/

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