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Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

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arxiv hep-th/0506190 v2 pith:T7CUNO2Z submitted 2005-06-22 hep-th math.QA

Christoph Bergbauer , Dirk Kreimer This is my paper · ORCID
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keywords algebrascohomologyequationshochschildhopfrenormalizationdiscussdyson-schwinger
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In this review we discuss the relevance of the Hochschild cohomology of renormalization Hopf algebras for local quantum field theories and their equations of motion.

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  1. The algebraic structure of Dyson--Schwinger equations with multiple insertion places

    math.CO 2025-01 conditional novelty 5.0 of 10

    Provides tubing-expansion solutions to Dyson-Schwinger equations with multiple insertion places, and proves one conjecture of Nabergall while disproving another.

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