Chiral Symmetry Breaking and Dual Gluon Mass in the Confining Region of QCD

TL;DR

This paper explores how dual gluon mass influences chiral symmetry breaking and confinement in QCD, using the Schwinger-Dyson equation and the dual Meissner effect to connect gluon propagator behavior with quark dynamics.

Contribution

It introduces a method to determine the dual gluon mass from the light quark condensate and discusses its role in QCD confinement and asymptotic freedom.

Findings

Dual gluon mass is estimated from the light quark condensate.

The dual Meissner effect explains the $rac{1}{q^4}$ gluon propagator behavior.

Dual gluon mass impacts the asymptotic free behavior of the QCD string.

Abstract

The Dual Meissner Effect description of QCD in the confining region provides $\frac{1}{q^4}$ behaviour for the gluon propagator and involves the dual gluon mass $m$ as a parameter. This is used in the Schwinger-Dyson equation for the quarks in the infrared region to exhibit chiral symmetry breaking for light quarks. Using the light quark condensate as input, the dual gluon mass is determined and its importance in showing the asymptotic free behaviour of the extrinsic curvature coupling in the rigid QCD string is discussed.