2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50171Formulating the QFT's as coarse grained 'low' energy sectors of a postulated complete quantum theory of everything with the 'high' energy modes integrated out or 'clustering' into 'low' energy objects, we can evaluate the Feynman amplitudes by solving a series of natural differential equations which automatically dissolves the necessity of infinity subtraction and the associated subtleties. This new strategy has direct implications to the scheme dependence problem.4 pages, RevTex, no figureHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyNuclear TheoryQuantum PhysicsCoarse graining and renormalizationtext