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Chiral Symmetry Breaking from Center Vortices

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abstract

We analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from classical center vortices in SU(2) lattice gauge theory. We show that colorful spherical vortex and instanton configurations have very similar Dirac eigenmodes and also vortex intersections are able to give rise to a finite density of near-zero modes, leading to chiral symmetry breaking via the Banks-Casher formula. We discuss the influence of the magnetic vortex fluxes on quarks and how center vortices may break chiral symmetry.

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hep-lat 1

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2025 1

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Center vortices in the novel phase of staggered fermions

hep-lat · 2025-06-06 · conditional · novelty 6.0

Center vortices extracted from SU(3) lattice configurations capture the broken single-site shift symmetry of the staggered-fermion artifact phase, with only plaquettes spanning the broken dimension affected.

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  • Center vortices in the novel phase of staggered fermions hep-lat · 2025-06-06 · conditional · none · ref 37 · internal anchor

    Center vortices extracted from SU(3) lattice configurations capture the broken single-site shift symmetry of the staggered-fermion artifact phase, with only plaquettes spanning the broken dimension affected.