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
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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.
@article{TMF_1986_68_3_a9,
author = {A. A. Lisyanskii and A. E. Filippov},
title = {Loop renormalization of the {Ginzburg--Landau} functional in the theory of phase transitions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {425--432},
publisher = {mathdoc},
volume = {68},
number = {3},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a9/}
}
TY - JOUR AU - A. A. Lisyanskii AU - A. E. Filippov TI - Loop renormalization of the Ginzburg--Landau functional in the theory of phase transitions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 425 EP - 432 VL - 68 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a9/ LA - ru ID - TMF_1986_68_3_a9 ER -
%0 Journal Article %A A. A. Lisyanskii %A A. E. Filippov %T Loop renormalization of the Ginzburg--Landau functional in the theory of phase transitions %J Teoretičeskaâ i matematičeskaâ fizika %D 1986 %P 425-432 %V 68 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a9/ %G ru %F TMF_1986_68_3_a9
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/