6533b870fe1ef96bd12cf3af

RESEARCH PRODUCT

Weight Systems from Feynman Diagrams

Dirk Kreimer

subject

High Energy Physics - TheoryAlgebra and Number TheoryAssociation (object-oriented programming)FOS: Physical sciencesMathematics::Geometric TopologyKnot theoryRenormalizationTheoretical physicssymbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Mathematics - Quantum AlgebrasymbolsFOS: MathematicsFeynman diagramQuantum Algebra (math.QA)Field theory (psychology)Relation (history of concept)Mathematics

description

We find that the overall UV divergences of a renormalizable field theory with trivalent vertices fulfil a four-term relation. They thus come close to establish a weight system. This provides a first explanation of the recent successful association of renormalization theory with knot theory.

https://dx.doi.org/10.48550/arxiv.hep-th/9612010