Tests of the lattice index theorem

Abstract

We investigate the lattice index theorem and the localization of the zero-modes for thick classical center vortices. For non-orientable spherical vortices, the index of the overlap Dirac operator differs from the topological charge although the traces of the plaquettes deviate only by a maximum of 1.5% from trivial plaquettes. This may be related to the fact that even in Landau gauge some links of these configuration are close to the non-trivial center elements.

9 pages, some corrections included

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Cited by in corpus (13)

• Center Vortices and Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Colorful SU(2) center vortices in the continuum and on the lattice
• Critical analysis of topological charge determination in the background of center vortices in SU(2) lattice gauge theory
• Center Vortices, Area Law and the Catenary Solution
• Confining Bond Rearrangement in the Random Center Vortex Model
• Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices
• Combining the color structures and intersection points of thick center vortices and low-lying Dirac modes
• Colorful plane vortices and Chiral Symmetry Breaking in $SU(2)$ Lattice Gauge Theory
• Comment on "Fractional topological charges and the lowest Dirac modes"
• Lattice Index Theorem and Fractional Topological Charge
• Fractional topological charges and the lowest Dirac modes