Spectral action and neutrino mass

TL;DR

This paper extends the spectral action principle to include fermions, demonstrating that neutrino mass terms naturally emerge as higher-order corrections within this framework.

Contribution

It introduces a novel extension of the spectral action principle to fermions, explaining neutrino masses as natural higher-order effects.

Findings

Neutrino mass terms arise naturally in the extended spectral action.

The approach provides a geometric origin for neutrino masses.

Higher-order corrections in the spectral action account for neutrino mass generation.

Abstract

We propose the extension of the spectral action principle to fermions and show that the neutrino mass terms appear then naturally as next-order corrections.