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

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.

29 pages, eps figures; minor changes; final version

References in corpus (1)

• Background independent geometry and Hopf cyclic cohomology

Cited by in corpus (13)

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• Algebraic Interplay between Renormalization and Monodromy
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• Algebra for quantum fields
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