Unknotting the polarized vacuum of quenched QED

Details Unknotting the polarized vacuum of quenched QED Unknotting the polarized vacuum of quenched QED

1995-09-14

arxiv.org/abs/hep-ph/9509296v1

Phys.Lett.B366:421-428,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX

Scientific paper

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.

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