826 citations · 3.9k across the 91 of their papers we have counts for
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Unknotting the polarized vacuum of quenched QED
D. J. Broadhurst, R. Delbourgo, D. Kreimer
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 b…
Feynman Diagram Calculations - From finite Integral Representations to knotted Infinities
Dirk Kreimer
Work is reported on finite integral representations for 2-loop massive 2-, 3- and 4-point functions, using orthogonal and parallel space variables. It is shown that this can be uti…
Knots and Numbers in Theory to 7 Loops and Beyond
D. J. Broadhurst, D. Kreimer
We evaluate all the primitive divergences contributing to the 7--loop \/--function of theory, i.e.\ all 59 diagrams that are free of subdivergences and hence give scheme--…
Knots and Divergences
Dirk Kreimer
We give empirical evidence that the UV-divergences of a renormalizable field theory are knot invariants.