The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators

Abstract

We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study the dressed electron propagator (allowing for emission or absorption of any number of photons along a fermion line) using the first quantised approach to quantum field theory and analyse its gauge transformation properties induced by virtual photon exchange. This is then extended to the $N$-point functions where we derive an exact, generalised version of the fully non-perturbative Landau-Khalatnikov-Fradkin (LKF) transformation for these correlators. We discuss some general aspects of application in perturbation theory and investigate the structure of the LKF factor about $D=2$ dimensions.

arXiv comment24 pages, 2 figures

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Cited by in corpus (3)

• Letter of Intent: Towards a Vacuum Birefringence Experiment at the Helmholtz International Beamline for Extreme Fields
• Landau-Khalatnikov-Fradkin transformations for the two loop massless quark propagator
• Generalized LKF transformations for $N$-point fermion correlators in QED