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Unknotting the Polarized Vacuum of Quenched QED
journal contribution
posted on 2023-05-16, 07:37 authored by Broadhurst, DJ, Robert DelbourgoRobert Delbourgo, Kreimer, DA knot-theoretic explanation is given for the rationality of the quenched QED beta function. At the link level, the Ward identity entails cancellation of subdivergences generated by one term of the skein relation, which in turn implies cancellation of knots generated by the other term. In consequence, each bare three-loop diagram has a rational Laurent expansion in the Landau gauge, as is verified by explicit computation. Comparable simplification is found to occur in scalar electrodynamics, when computed in the Duffin-Kemmer-Petiau formalism.
History
Publication title
Physics Letters BVolume
366Issue
1-4Pagination
421-428ISSN
0370-2693Department/School
School of Natural SciencesPublisher
Elsevier Science BvPlace of publication
AmsterdamRepository Status
- Restricted