Functional self-similarity and renormalization group symmetry in mathematical physics

Authors
Kovalev, VF Shirkov, DV
Citation
Vf. Kovalev et Dv. Shirkov, Functional self-similarity and renormalization group symmetry in mathematical physics, THEOR MATH, 121(1), 1999, pp. 1315-1332
Citations number
38
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
121
Issue
1
Year of publication
1999
Pages
1315 - 1332
Database
ISI
SICI code
0040-5779(199910)121:1<1315:FSARGS>2.0.ZU;2-W
Abstract
The results from developing and applying the notions of functional self-sim ilarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are reviewed. The main achi evement is the regular algorithm for finding renormalization group-type sym metries using the contemporary theory of Lie groups of transformations.