On the gauge parameter dependence of QED
Hidenori Sonoda
TL;DR
This paper explores how the gauge parameter affects quantum electrodynamics (QED) in covariant gauges by using a Stueckelberg field, extending previous understanding of gauge dependence in electron propagators.
Contribution
It introduces a method to explicitly determine gauge parameter dependence in QED using a Stueckelberg field, generalizing earlier results on wave function renormalization.
Findings
Explicit gauge dependence formulas for QED with electrons or charged scalars
Generalization of known gauge dependence results for wave function renormalization
Application of Stueckelberg field to analyze gauge parameter effects
Abstract
The gauge parameter dependence of QED in the covariant gauge can be determined explicitly by introducing a Stueckelberg field, which is a non-interacting fictitious Goldstone boson field. Examples of QED with electrons or charged scalars are discussed. Our results generalize the long known results on the gauge parameter dependence of the wave function renormalization constant and the electron propagator.
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