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Habilitationsschrift: Renormalization and Knot Theory

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arxiv q-alg/9607022 v2 pith:SAKQIHIT submitted 1996-07-17 q-alg hep-thmath.QA

Dirk Kreimer This is my paper · ORCID
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keywords theoryconnectionknotrenormalizationalgebraalgebraicconcatenatedextent
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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.

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  1. A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A five-fold Mellin-Barnes integral for the massless box diagram is reduced to a two-fold triangle integral using analytical regularization and residue calculus, without Barnes lemmas.

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