The Exact Renormalization Group -- renormalization theory revisited --
Hidenori Sonoda

TL;DR
This paper revisits the entire renormalization theory using the exact renormalization group method, focusing on both perturbative and non-perturbative aspects, especially in phi4 theory and QED.
Contribution
It provides a comprehensive overview of renormalization theory through ERG, highlighting perturbative applications to phi4 theory and QED in four dimensions.
Findings
Clarifies the perturbative application of ERG to phi4 theory.
Analyzes the ERG approach to QED in four-dimensional Euclidean space.
Summarizes the non-perturbative aspects of the renormalization theory.
Abstract
We overview the entire renormalization theory, both perturbative and non-perturbative, by the method of the exact renormalization group (ERG). We emphasize particularly on the perturbative application of the ERG to the phi4 theory and QED in the four dimensional euclidean space.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · advanced mathematical theories · Particle physics theoretical and experimental studies
