On topological properties of vacuum defects in lattice Yang-Mills theories

TL;DR

This paper investigates the relationship between low-lying Dirac modes and vacuum defects like vortices in lattice SU(2) gluodynamics, revealing significant correlations that relate to topological properties and confinement mechanisms.

Contribution

It provides new insights into how vacuum defects correlate with low-lying Dirac modes, highlighting their role in topological features and confinement in lattice gauge theories.

Findings

Strong correlation between low-lying modes and vacuum defects

Vortices show a stronger correlation than other defects

Results support the significance of vacuum defects in confinement

Abstract

We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are apparently sensitive to topological properties of the underlying gluon field configurations while the vacuum defects are crucial for the confinement. We find distinct positive correlation in both cases. In case of vortices the correlation is stronger.