On Solutions to the "Faddeev-Niemi" Equations

TL;DR

This paper explores solutions to the Faddeev-Niemi equations, showing they can correspond to Yang-Mills equations with sources, and presents a broad class of such configurations.

Contribution

It introduces a general class of gauge field configurations that satisfy the Faddeev-Niemi equations and relate to sourceful Yang-Mills solutions.

Findings

Faddeev-Niemi equations can have solutions obeying Yang-Mills equations with sources

A broad class of such solutions is constructed

These solutions expand understanding of gauge field configurations

Abstract

Recently it has been pointed out that the "Faddeev-Niemi" equations that correspond to the Yang-Mills equations of motion for a decomposed gauge field, can have solutions that obey the standard Yang-Mills equations with a source term. Here we present a general class of such gauge field configurations.