A Geometrical Formulation of the Renormalization Group Method for Global Analysis

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.

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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