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A Geometrical Formulation of the Renormalization Group Method for Global Analysis

High Energy Physics - Theory 2009-10-28 v3 Condensed Matter funct-an Functional Analysis Pattern Formation and Solitons patt-sol

Abstract

On the basis of the classical theory of envelopes, we formulate the renormalization group (RG) method for global analysis, recently proposed by Goldenfeld et al. It is clarified why the RG equation improves things.

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Cite

@article{arxiv.hep-th/9505166,
  title  = {A Geometrical Formulation of the Renormalization Group Method for Global Analysis},
  author = {Teiji Kunihiro},
  journal= {arXiv preprint arXiv:hep-th/9505166},
  year   = {2009}
}

Comments

Errors in Eq. (4.14) and (4.18) are corrected. Due comments are added. To be published in Prog. Theor. Phys.(Kyoto) vol.94, No.4 (1995)

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