Diagrammatic Cancellations and the Gauge Dependence of QED

Jul 19, 2016
4 pages
Published in:
  • Phys.Lett.B 764 (2017) 318-321
  • Published: Jan 10, 2017
e-Print:
Report number:
  • LTH-1091

Citations per year

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Abstract: (Elsevier)
This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the electron propagator from the result of a particular gauge by means of a linear Dyson–Schwinger equation. We use this method in combination with dimensional regularization to demonstrate how the 3-loop ε -expansion in the Feynman gauge determines the ε -expansions for all gauge parameter dependent terms to 4 loops.
  • Cancellation
  • Dyson–Schwinger equation
  • Feynman graph
  • Gauge dependence
  • Quantum electrodynamics
  • Renormalization
  • quantum electrodynamics
  • gauge: linear
  • Feynman graph
  • Dyson-Schwinger equation