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Chord Diagrams and BPHZ Subtractions
journal contribution
posted on 2023-05-16, 07:37 authored by Tsohantjis, I, Kalloniatis, AC, Peter JarvisPeter Jarvis, G ThompsonThe combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three-point vertex in φ3 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.
History
Publication title
Modern Physics Letters AVolume
11Issue
13Pagination
1095-1105ISSN
0217-7323Department/School
School of Natural SciencesPublisher
World Scientific Publ Co Pte LtdPlace of publication
SingaporeRepository Status
- Restricted