Feynman graph solution to Wilson's exact renormalization group
Hidenori Sonoda
TL;DR
This paper presents a novel, mass-independent renormalization scheme for Feynman diagrams that provides a diagrammatic solution to Wilson's exact renormalization group equations, compatible with dimensional regularization.
Contribution
It introduces a new prescription for renormalizing Feynman diagrams that is mass independent and works in the massless limit, offering a diagrammatic approach to Wilson's RG.
Findings
Provides a mass-independent renormalization scheme.
Offers a diagrammatic solution to Wilson's RG equations.
Compatible with dimensional regularization.
Abstract
We introduce a new prescription for renormalizing Feynman diagrams. The prescription is similar to BPHZ, but it is mass independent, and works in the massless limit as the MS scheme with dimensional regularization. The prescription gives a diagrammatic solution to Wilson's exact renormalization group differential equation.
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Taxonomy
Topicsadvanced mathematical theories · Complex Network Analysis Techniques · Topological and Geometric Data Analysis