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A Geometrical Formulation of the Renormalization Group Method for Global Analysis

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arxiv hep-th/9505166 v3 pith:GMFOQVVB submitted 1995-05-26 hep-th cond-matfunct-anmath.FAnlin.PSpatt-sol

classification hep-thcond-matfunct-anmath.FAnlin.PSpatt-sol
keywords analysisglobalgroupmethodrenormalizationbasisclarifiedclassical
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    hep-th 2026-01 unverdicted novelty 7.0 of 10

    A new projector-based formalism determines effective potentials from perturbative amplitudes and resums them to compute non-perturbative gravitational waveforms for generic two-body trajectories.

  2. Quintessence Dark Energy from non-perturbative Higgs-Yang-Mills mass gap

    astro-ph.CO 2025-05 reject novelty 4.0 of 10

    A strongly coupled Higgs-Yang-Mills dark sector with a cosmic-triad gauge field can mimic quintessence dark energy with an equation of state approaching -1, provided the solution phase is tuned.

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