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An Isaac Newton Institute Workshop

Noncommutative Geometry and Physics: Fundamental Structure of Space and Time

Locality and Self-Similarity

Author: Dirk Kreimer (IHES and Boston U.)

Abstract

The talk points out how the quest for local physics and self-simiilarity combine in Dyson--Schwinger equations. It points out representation theoretic aspects starting from the Hopf- and Lie-algebraic approach to quantum fields. It considers Slavnov--Taylor identities for couplings as an example how quantum gauge symmetry organizes itself independently of a classical Lagrangian and discusses the principles behind.