Colorful vortex intersections in SU(2) lattice gauge theory and their influencs on chiral properties

TL;DR

This paper studies how colorful vortex intersections in SU(2) lattice gauge theory affect topological charge and chiral properties, revealing that these structures influence low eigenmodes and their densities.

Contribution

It introduces topologically non-trivial colorful regions around vortex intersections and analyzes their impact on eigenmodes and chiral densities in SU(2) gauge theory.

Findings

Eigenvalues of low modes decrease with vortex separation.

Chiral densities follow topological charge distributions.

Color structures cause distinct peaks in low mode densities.

Abstract

We introduce topological non-trivial colorful regions around intersection points of two perpendicular vortex pairs and investigate their influence on topological charge density and eigenmodes of the Dirac operator. With increasing distance between the vortices the eigenvalues of the lowest modes decrease. We show that the maxima and minima of the chiral densities of the low modes follow mainly the distributions of the topological charge densities. The topological non-trivial color structures lead in some low modes to distinct peaks in the chiral densities. The other low modes reflect the topological charge densities of the intersection points.