Spectral Noncommutative Geometry Standard Model and all that

Author:

Devastato Agostino1,Kurkov Maxim12,Lizzi Fedele123

Affiliation:

1. INFN, Sezione di Napoli, Italy

2. Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, Napoli, Italy

3. Departament de Física Quàntica i Astrofísica and, Institut de Cíencies del Cosmos (ICCUB), Universitat de Barcelona, Barcelona, Spain

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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