Yang-Mills Fields on the 4-dimensional torus. Part I: Classical Theory

TL;DR

This paper reviews key classical results concerning Yang-Mills fields on the four-dimensional torus, highlighting foundational theories and developments in the mathematical physics of gauge fields.

Contribution

It provides a comprehensive overview of the classical theory of Yang-Mills fields on the 4D torus, consolidating important historical and mathematical insights.

Findings

Summarizes fundamental results in Yang-Mills theory on the 4D torus

Highlights classical solutions and their properties

Discusses mathematical structures underlying Yang-Mills fields

Abstract

We review some of the most important results obtained over the years on the study of Yang-Mills fields on the four dimensional torus at the classical level.