Center Vortices and Chiral Symmetry Breaking in SU(2) Lattice Gauge Theory

Abstract

We investigate the chiral properties of near-zero modes for thick classical center vortices in SU (2) lattice gauge theory as examples of the phenomena which may arise in a vortex vacuum. In particular we analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from center vortices. We show that classical colorful spherical vortex and instanton ensembles have almost identical Dirac spectra and the low-lying eigenmodes from spherical vortices show all characteristic properties for chiral symmetry breaking. We further show that 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 mechanism by which center vortex fluxes contribute to chiral symmetry breaking.

22 pages, 19 figures

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• Numerical indication that center vortices drive dynamical mass generation in QCD
• Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices
• QCD chiral symmetry restoration with a large number of quarks in a model with a confining propagator and dynamically massive gluons
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Smearing Center Vortices
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• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Colorful plane vortices and Chiral Symmetry Breaking in $SU(2)$ Lattice Gauge Theory
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• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
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