Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology

Christoph Bergbauer; Dirk Kreimer

doi:10.4171/028

BooksirmaCollected Volumepp. 133–164

Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology

Christoph Bergbauer
Freie Universität Berlin, Germany
- zbMATH Open
Dirk Kreimer
Humboldt-Universität, Berlin, Germany
- MathSciNet
- zbMATH Open

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Abstract

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.