2007/08/31 by V. G. Bornyakov, E.-M. Ilgenfritz, E. -M. Ilgenfritz +6
Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Dirac operator #Fermion #Higgs boson #Magnetic monopole #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Topological quantum number #Topology (electrical circuits) #Vortex #hep-lat
paper · pdf · doi:10.1103/physrevd.77.074507
published as Phys.Rev.D77:074507,2008 · 13 pages, 5 figures, strongly revised, results added, one figure added, accepted for publication, title changed !
arxiv created 2008/03/14 · openalex publication_date 2008/04/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 nonzero 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 Qindex=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 affects the monopoles and vortices only by smoothing, reducing the density only slightly.