Chord diagrams and BPHZ subtractions

Details Chord diagrams and BPHZ subtractions Chord diagrams and BPHZ subtractions

1996-04-30

arxiv.org/abs/hep-th/9604191v1

Mod.Phys.Lett. A11 (1996) 1095-1106

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 5 Postscript figures, LaTex 2e

Scientific paper

The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three point vertex in $\phi^3$ theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a proposed fundamental relationship between knot theory and renormalization in perturbative quantum field theory.

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