Probing Wilson Loops in the QCD Instanton Vacuum

TL;DR

This paper investigates how Wilson loops affect quark and gluon condensates in the QCD instanton vacuum, revealing changes in condensate values and deriving the static potential between QCD dipoles, with implications for string interactions.

Contribution

It introduces a detailed analysis of Wilson loops in the QCD instanton vacuum with dynamical quarks, including condensate behavior and dipole potential derivation, advancing understanding of nonperturbative QCD effects.

Findings

Scalar quark condensate decreases near Wilson loops

Gluon condensate increases near Wilson loops

Static potential between QCD dipoles is attractive and short-ranged

Abstract

We discuss the quark and gluon condensates in the presence of a rectangular Wilson loop using the QCD instanton vacuum with three light dynamical quarks. The scalar quark condensate is found to decrease while the gluon condensate to increase. We also derive the static potential between two QCD dipoles and show that it is attractive but short ranged at large distances. Its relevance to static QCD string interactions is discussed.