Solutions to Yang-Mills equations

TL;DR

This paper provides explicit solutions to the Yang-Mills equations demonstrating that these solutions can have arbitrarily small positive energy, implying the absence of a mass gap in Yang-Mills theories.

Contribution

It introduces explicit solutions to Yang-Mills equations with adjustable energy, highlighting the non-existence of a mass gap in these theories.

Findings

Solutions with arbitrarily small positive energy

Implication that Yang-Mills theories lack a mass gap

Explicit construction of solutions

Abstract

This article gives explicit solutions to the Yang-Mills equations. The solutions have positive energy that can be made arbitrarily small by selection of a parameter showing that Yang-Mills field theories do not have a mass gap.