Functional Callan-Symanzik equation for QED
J. Alexandre, J. Polonyi, K. Sailer
TL;DR
This paper introduces a functional Callan-Symanzik equation for QED that smoothly incorporates quantum fluctuations via electron mass, recovering standard RG equations without encountering a Landau pole.
Contribution
It presents a novel functional evolution equation for QED's effective action that avoids the Landau pole and generalizes the Callan-Symanzik method.
Findings
Recovers standard renormalization group equations at leading order
No Landau pole appears in the analysis
Provides a new framework for QED evolution equations
Abstract
An exact evolution equation, the functional generalization of the Callan-Symanzik method, is given for the effective action of QED where the electron mass is used to turn the quantum fluctuations on gradually. The usual renormalization group equations are recovered in the leading order but no Landau pole appears.
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