Combining the color structures and intersection points of thick center vortices and low-lying Dirac modes

TL;DR

This paper explores how thick center vortices and their intersection points influence topological charge and chiral symmetry breaking in Yang-Mills theories, using lattice gauge configurations and Dirac eigenmodes.

Contribution

It introduces a detailed analysis of vortex structures and their topological effects on Dirac modes, highlighting their role in chiral symmetry breaking.

Findings

Intersection points contribute significantly to topological charge.

Low-lying Dirac modes are sensitive to vortex structures.

Results support the vortex picture of confinement and chiral symmetry breaking.

Abstract

We investigate several examples of Yang-Mills gauge configurations containing center vortex structures, including intersection points between vortices and nontrivial color structures residing on the vortex world-surfaces. Various topological charge contributions of the color structures and intersection points are studied in these configurations. Low-lying eigenmodes of the (overlap) Dirac operator in the presence of these vortex backgrounds are analyzed. The results indicate characteristic properties for spontaneous chiral symmetry breaking.