Functional self-similarity and renormalization group symmetry in mathematical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 66-88
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The results from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are reviewed. The main achievement is the regular algorithm for finding renormalization group–type symmetries using the contemporary theory of Lie groups of transformations.
@article{TMF_1999_121_1_a4,
author = {V. F. Kovalev and D. V. Shirkov},
title = {Functional self-similarity and renormalization group symmetry in mathematical physics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {66--88},
publisher = {mathdoc},
volume = {121},
number = {1},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a4/}
}
TY - JOUR AU - V. F. Kovalev AU - D. V. Shirkov TI - Functional self-similarity and renormalization group symmetry in mathematical physics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 66 EP - 88 VL - 121 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a4/ LA - ru ID - TMF_1999_121_1_a4 ER -
%0 Journal Article %A V. F. Kovalev %A D. V. Shirkov %T Functional self-similarity and renormalization group symmetry in mathematical physics %J Teoretičeskaâ i matematičeskaâ fizika %D 1999 %P 66-88 %V 121 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a4/ %G ru %F TMF_1999_121_1_a4
V. F. Kovalev; D. V. Shirkov. Functional self-similarity and renormalization group symmetry in mathematical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 66-88. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a4/