Functional self-similarity and renormalization group symmetry in mathematical physics

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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.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.121, No.1, pp.66-88, October, 1999

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Mathematical Physics, High Energy Physics - Theory, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/190827

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0001027
 http://arxiv.org/abs/math-ph/0001027
 Theor.Math.Phys.121:1315-1332,1999; Teor.Mat.Fiz.121:66-88,1999
 doi:10.1007/BF02557230

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arXiv