Lattice QCD study of partial restoration of chiral symmetry in the flux-tube

TL;DR

This study uses lattice QCD to analyze how the chiral condensate is reduced within flux-tubes connecting static color sources, indicating partial chiral symmetry restoration in these regions.

Contribution

It provides the first lattice QCD evidence that the chiral condensate decreases inside flux-tubes, suggesting partial restoration of chiral symmetry in these confined regions.

Findings

Chiral condensate is reduced by 20-30% inside flux-tubes.

Chiral symmetry is partially restored in the flux-tube regions.

Reduction observed in both quark-antiquark and three-quark systems.

Abstract

Using the overlap-Dirac eigenmodes, we study the spatial distribution of the chiral condensate around static color sources in lattice QCD. Between the color sources, there appears a color-flux tube, which leads a linear confining potential. By measuring a local value of the chiral condensate, we show that the magnitude of the condensate is reduced inside the flux-tube for both quark-antiquark and three-quark systems. These results suggest that chiral symmetry is partially restored in the flux-tube. The reduction of the condensate is estimated to be about 20 $\sim$ 30% at the center of the flux.