Noncommutative geometry models for particle physics

Abstract

This is a writeup of part of a series of lectures delivered at the Villa de Leyva summer school "Geometric, Algebraic and Topological Methods for Quantum Field Theory". I am very grateful to Sylvi Paycha for the invitation and to the organizers and the participants for the very friendly and nice atmosphere and the very lively and useful discussions. This paper follows the same format of the lectures and the same very informal style, but we refer the reader, wherever needed, to more detailed references for additional material and a more rigorous treatment. The lectures originally covered both the particle physics applications and some recent applications to cosmology, along the lines of the work. This writeup only deals with the particle physics part, while the cosmology part of the lectures will be written up elsewhere.

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