On the interrelation between monopoles, vortices, topological charge and chiral symmetry breaking: an analysis using overlap fermions for SU(2)

Abstract

We study the properties of configurations from which P-vortices on one hand or Abelian monopoles on the other hand have been removed. We find that the zero modes and the band of non-zero modes close to zero disappear from the spectrum of the overlap Dirac operator, confirming the absence of topological charge and quark condensate. The different behavior of the modified ensembles under smearing compared to the unmodified Monte Carlo ensemble corroborates these findings. The gluonic topological susceptibility rapidly approaches zero in accordance with Q_{index}=0. The remaining (ultraviolet) monopoles without vortices and -- to a less extent -- the remaining vortices without monopoles are unstable under smearing whereas smearing of the unmodified Monte Carlo ensemble effects the monopoles and vortices only by smoothing, reducing the density only slightly.

13 pages, 5 figures, strongly revised, results added, one figure added, accepted for publication, title changed !

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Cited by in corpus (30)

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• Connection between centre vortices and instantons through gauge-field smoothing
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• Chiral Symmetry Breaking on the Lattice
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Chiral superfluidity of the quark-gluon plasma
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• The Vortex Structure of SU(2) Calorons
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• Confinement encoded in Landau gauge gluon and ghost propagators
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• Novel insight into centre-vortex geometry in four dimensions
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