RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS

Dmitrij V. Shirkov ()
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Dmitrij V. Shirkov: Bogoliubov Laboratory, JINR, Dubna, 141980, Russia

International Journal of Modern Physics C (IJMPC), 1995, vol. 06, issue 04, 503-512

Abstract: We start with a short discussion of the content of a term Renormalisation Group in modern use. By treating the underlying solution property as a reparametrisation symmetry, we relate it with the self-similarity symmetry well-known in mathematical physics and explain the notion of Functional Self-similarity. Then we formulate a program of constructing a regular approach for discovering RG-type symmetries in different problems of mathematical physics. This approach based upon S. Lie group analysis allows one to analyse a wide class of boundary problems for different type of equations. Several examples are mentioned.

Date: 1995
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DOI: 10.1142/S0129183195000356

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