Some remarks about gauge-invariant Yang-Mills fields

TL;DR

This paper explores a method to construct gauge-invariant fields in non-Abelian Yang-Mills theory using path-dependent variables, revealing their relation to standard fields and analyzing the interquark potential.

Contribution

It introduces a gauge-invariant formalism for Yang-Mills fields based on path-dependent variables, connecting it to conventional gauges and analyzing interquark interactions.

Findings

Gauge-invariant fields coincide with usual fields in certain gauges.

The formalism provides insights into the structure of the gluonic cloud around static fermions.

Interquark potential is analyzed within this gauge-invariant framework.

Abstract

In order to eliminate gauge variant degrees of freedom we study the way to introduce gauge invariant fields in pure non-Abelian Yang-Mills theory. Our approach is based on the use of the gauge-invariant but path-dependent variables formalism. It is shown that for a special class of paths these fields coincide with the usual ones in some definite gauges. The interquark potential is discussed by exploiting the rich structure of the gluonic cloud or dressing around static fermions.