Spectral Noncommutative Geometry Standard Model and all that

Agostino Devastato, Maxim Kurkov, Fedele Lizzi
2019 International Journal of Modern Physics A  
We review the approach to the Standard Model of particle interactions based on spectral noncommutative geometry. The paper is (nearly) self-contained and presents both the mathematical and phenomenological aspects. In particular, the bosonic spectral action and the fermionic action are discussed in detail, and how they lead to phenomenology. We also discuss the Euclidean versus Lorentz issues and how to go beyond the Standard Model in this framework.
doi:10.1142/s0217751x19300102 fatcat:xcxjdbh7e5audch7cjpe4mehlu