Diagrammatic cancellations and the gauge dependence of QED

Physics Letters B

Henry Kißler¹  Dirk Kreimer² 

[1] Department of Mathematical Sciences, University of Liverpool, L69 7ZL, Liverpool, United Kingdom;Department of Mathematics, Humboldt-Universität zu Berlin, Rudower Chaussee 25, D-12489 Berlin, Germany;

关键词: Cancellation;    Dyson–Schwinger equation;    Feynman graph;    Gauge dependence;    Quantum electrodynamics;    Renormalization;   

DOI  :  10.1016/j.physletb.2016.11.052

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown