Functional self-similarity and renormalization group symmetry in mathematical physics
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
The result 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.
Keywords
Cite
@article{arxiv.math-ph/0001027,
title = {Functional self-similarity and renormalization group symmetry in mathematical physics},
author = {Vladimir F. Kovalev and Dmitrij V. Shirkov},
journal= {arXiv preprint arXiv:math-ph/0001027},
year = {2008}
}
Comments
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.121, No.1, pp.66-88, October, 1999