YANG-MILLS-HIGGS versus CONNES-LOTT

TL;DR

This paper demonstrates that all Connes-Lott models can be expressed as Yang-Mills-Higgs models through variable transformations, but not all Yang-Mills-Higgs models correspond to Connes-Lott models, highlighting their relationship and differences.

Contribution

It establishes a connection between Connes-Lott and Yang-Mills-Higgs models, providing necessary conditions and illustrating the relationship with examples.

Findings

Every Connes-Lott model can be formulated as a Yang-Mills-Higgs model.

Not all Yang-Mills-Higgs models are Connes-Lott models.

Necessary conditions for a Yang-Mills-Higgs model to be a Connes-Lott model are identified.

Abstract

By a suitable choice of variables we show that every Connes-Lott model is a Yang-Mills-Higgs model. The contrary is far from being true. Necessary conditions are given. Our analysis is pedestrian and illustrated by examples.