Does noncommutative geometry encompass lattice gauge theory?

Abstract

We are unable to formulate lattice gauge theories in the framework of Connes' spectral triples.

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Cited by in corpus (5)

• Pseudoscalar Vertex, Goldstone Boson and Quark Masses on the Lattice
• $Z_2\times Z_2$ Lattice as a Connes-Lott-Quantum Group Model
• Discrete spectral triples converging to dirac operators
• Towards an algebraic approach to the discretisation of fermions
• It is the ambiguity. (But only three generations)