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Unknotting the Polarized Vacuum of Quenched QED


Broadhurst, DJ and Delbourgo, R and Kreimer, D, Unknotting the Polarized Vacuum of Quenched QED, Physics Letters B, 366, (1-4) pp. 421-428. ISSN 0370-2693 (1996) [Refereed Article]

DOI: doi:10.1016/0370-2693(95)01343-1


A 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.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other physical sciences
Research Field:Other physical sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the physical sciences
UTAS Author:Delbourgo, R (Professor Robert Delbourgo)
ID Code:214
Year Published:1996
Web of Science® Times Cited:50
Deposited By:Physics
Deposited On:1996-08-01
Last Modified:2011-08-16

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