Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices

Abstract

We present a method to smear (center projected) $Z(2)$ vortices in lattice gauge configurations such as to embed vortex physics into a full $SU(2)$ gauge configuration framework. In particular, we address the problem that using $Z(2)$ configurations in conjunction with overlap (or chirally improved) fermions is problematic due to their lack of smoothness. Our method allows us to regain this smoothness and simultaneously maintain the center vortex structure. We verify our method with various gluonic and fermionic observables.

33 pages, 35 figures

References in corpus (6)

• On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)
• Double-winding Wilson loops and monopole confinement mechanisms
• Intersections of thick Center Vortices, Dirac Eigenmodes and Fractional Topological Charge in SU(2) Lattice Gauge Theory
• Tests of the lattice index theorem
• Center Vortices, Area Law and the Catenary Solution
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Cited by in corpus (3)

• Confining Bond Rearrangement in the Random Center Vortex Model
• Smearing Center Vortices
• Colorful plane vortices and Chiral Symmetry Breaking in $SU(2)$ Lattice Gauge Theory