Gauge Consistent Wilson Renormalization Group I: Abelian Case
Michele Simionato

TL;DR
This paper introduces a gauge-symmetry consistent Wilson Renormalization Group Equation for Abelian gauge theories, providing a perturbative renormalizability proof and deriving the Callan-Symanzik equation.
Contribution
It presents a novel gauge-invariant Wilson Renormalization Group framework and offers a perturbative proof of renormalizability for Abelian gauge theories.
Findings
Gauge-invariant Wilson RG equation established
Perturbative renormalizability proven
Derivation of Callan-Symanzik equation from Wilsonian perspective
Abstract
A version of the Wilson Renormalization Group Equation consistent with gauge symmetry is presented. A perturbative renormalizability proof is established. A wilsonian derivation of the Callan-Symanzik equation is given.
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