Wilson's Renormalization Group and Its Applications in Perturbation Theory
Hidenori Sonoda
TL;DR
This paper explains Wilson's renormalization group approach for constructing continuum limits in field theories, formulates it within perturbation theory, and applies it to four-dimensional phi4 theory and QED.
Contribution
It introduces a formulation of the renormalization group in perturbation theory and demonstrates its application to specific quantum field theories.
Findings
Renormalization group formulated in perturbation theory
Application to four-dimensional phi4 theory
Application to quantum electrodynamics (QED)
Abstract
The general prescription for constructing the continuum limit of a field theory is explained using Wilson's renormalization group. We then formulate the renormalization group in perturbation theory and apply it to the four dimensional phi4 theory and QED.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Cosmology and Gravitation Theories