Noncommutative Geometry and Particle Physics
Abstract
We review the noncommutative approach to the standard model. We start with the introduction if the mathematical concepts necessary for the definition of noncommutative spaces, and manifold in particular. This defines the framework of spectral geometry. This is applied to the standard model of particle interaction, discussing the fermionic and bosonic spectral action. The issues relating to the calculation of the mass of the Higgs are discussed, as well as the role of neutrinos and Wick rotations. Finally, we present the possibility of solving the problem of the Higgs mass by considering a pregeometric grand symmetry.
Cite
@article{arxiv.1805.00411,
title = {Noncommutative Geometry and Particle Physics},
author = {Fedele Lizzi},
journal= {arXiv preprint arXiv:1805.00411},
year = {2018}
}
Comments
Based on Lectures at the COST action Qspace School "Quantum Spacetime and Physics Models", Corfu Summer Institute on Elementary Particle Physics and Gravity, September 2-28, 2017, Corfu, Greece; to appear in the proceedings