6533b873fe1ef96bd12d5f71
RESEARCH PRODUCT
Chen’s iterated integral represents the operator product expansion
Dirk Kreimersubject
RenormalizationAlgebraFactorialQuantum groupGeneral MathematicsGeneral Physics and AstronomyOperator product expansionRenormalization groupQuantum field theoryHopf algebraCohomologyMathematicsdescription
The recently discovered formalism underlying renormalization theory, the Hopf algebra of rooted trees, allows to generalize Chen’s lemma. In its generalized form it describes the change of a scale in Green functions, and hence relates to the operator product expansion. Hand in hand with this generalization goes the generalization of the ordinary factorial n! to the tree factorial t. Various identities on tree-factorials are derived which clarify the relation between Connes-Moscovici weights and Quantum Field Theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 | Advances in Theoretical and Mathematical Physics |