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

  • Christoph Bergbauer

    Freie Universität Berlin, Germany
  • Dirk Kreimer

    Humboldt-Universität, Berlin, Germany
Hopf algebras in renormalization theory: locality and Dyson–Schwinger equations from Hochschild cohomology cover
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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.