Colorful SU(2) center vortices in the continuum and on the lattice

Abstract

The spherical vortex as introduced in [Phys. Rev. D77, 014515 (2008)] is generalized. A continuum form of the spherical vortex is derived and investigated in detail. The discrepancy between the gluonic lattice topological charge and the index of the lattice Dirac operator described in previous papers is identified as a discretization effect. The importance of the investigations for Monte Carlo configurations is discussed.

8 pages, 3 figures

References in corpus (3)

• Tests of the lattice index theorem
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Critical analysis of topological charge determination in the background of center vortices in SU(2) lattice gauge theory

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• 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
• A first analysis of the ensemble of local maxima of maximal center gauge
• Comment on "Fractional topological charges and the lowest Dirac modes"
• Colorful plane vortices and Chiral Symmetry Breaking in $SU(2)$ Lattice Gauge Theory
• Fractional topological charges and the lowest Dirac modes