This review article gives a complete treatment of the noncommutative approach to the Standard Model. After a light introduction to noncommutative geometry, dealing with so-called almost-commutative manifolds, a geometrcial derivation follows of electrodynamics, the electroweak Weinberg-Glashow-Salam theory and finally of the full Standard Model of particle physics.
Koen van den Dungen and Walter D. van Suijlekom. Particle Physics from Almost Commutative Spacetimes. Rev. Math. Phys. 24 (2012) 1230004.