6533b83afe1ef96bd12a7875

RESEARCH PRODUCT

Renormalization and Knot Theory

Dirk KreimerDirk Kreimer

subject

AlgebraRenormalizationAlgebra and Number TheoryAlgebraic manipulationAlgebra over a fieldMathematicsKnot theoryConnection (mathematics)

description

We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a useful connection to knot theory as well as number theory and report on recent results in support of this connection.

https://doi.org/10.1142/s0218216597000315