Functional self-similarity and renormalization group symmetry in mathematical physics

被引:0
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作者
V. F. Kovalev
D. V. Shirkov
机构
[1] RAS,Institute for Mathematical Modeling
[2] Joint Institute for Nuclear Research,Bogoliubov Laboratory for Theoretical Physics
来源
关键词
Perturbation Theory; Initial Equation; Approximate Symmetry; Renormalization Group Transformation; Wilson Renormalization Group;
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摘要
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.
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页码:1315 / 1332
页数:17
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