The standard model in noncommutative geometry and fermion doubling

Abstract

The link between chirality in the fermion sector and (anti-)self-duality in the boson sector is reexamined in the light of Connes' noncommutative geometry approach to the Standard Model. We find it to impose that the noncommutative Yang-Mills action be symmetrized in an analogous way to the Dirac-Yukawa operator itself.

9 pages LaTeX

References in corpus (2)

• Mirror Fermions in Noncommutative Geometry
• On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?

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