The standard model in noncommutative geometry and fermion doubling

J.M. Gracia-Bondı́a, B. Iochum, T. Schücker
1998 Physics Letters B  
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.
doi:10.1016/s0370-2693(97)01310-5 fatcat:hw35w3aqszf7vlgxfq5e2juzh4