Diagrammatic cancellations and the gauge dependence of QED

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• 作者：Henry Ki&szlig ; ler^a ; ^b ; ^{kissler@physik.hu-berlin.de} ; Dirk Kreimer^b ; ^{kreimer@math.hu-berlin.de}
• 关键词：Cancellation ; Dyson&ndash ; Schwinger equation ; Feynman graph ; Gauge dependence ; Quantum electrodynamics ; Renormalization
• 刊名：Physics Letters B
• 出版年：2017
• 出版时间：10 January 2017
• 年：2017
• 卷：764
• 期：Complete
• 页码：318-321
• 全文大小：273 K
• 卷排序：764

文摘

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.