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.
Highlights
Numerical simulations have indicated that the center vortices can account for the phenomena of the color confinement [1,2,3,4,5,6,7,8,9] and spontaneous chiral symmetry breaking [10,11,12,13,14]
By the Banks-Casher relation [33], the finite density of near-zero modes leads to a nonzero chiral condensate and chiral symmetry breaking
The color structures and intersection points of center vortices producing the topological charge may appear on the vacuum, simultaneously
Summary
Numerical simulations have indicated that the center vortices can account for the phenomena of the color confinement [1,2,3,4,5,6,7,8,9] and spontaneous chiral symmetry breaking [10,11,12,13,14]. We study some plane vortex configurations in SU(2) lattice gauge theory, which are combinations of the color structures and intersection points. These configurations give the nice opportunity to study the properties of zero modes and near-zero modes.
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