A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IV

TL;DR

This paper provides a detailed computation of the Yang-Mills action within Alain Connes' noncommutative geometry framework, offering results consistent with experimental data and insights into the Higgs mass.

Contribution

It presents a comprehensive calculation of the Yang-Mills action for Connes' model with general couplings, advancing the understanding of the noncommutative geometric approach to the Standard Model.

Findings

Tree-approximation results align with experimental observations

Provides initial estimates for the Higgs mass

Demonstrates compatibility of the model with known physics

Abstract

We give a detailed account of the computation of the Yang-Mills action for the Connes-Lott model with general coupling constant in the commutant of the $K$-cycle. This leads to tree-approximation results amazingly compatible with experiment, yielding a first indication on the Higgs mass.