Center vortex influence on the Dirac spectrum

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dc.creatorHeller, Urs
dc.creatorHoellwieser, R.
dc.creatorFaber, M.
dc.creatorGreensite, J.
dc.creatorOlejnik, S.
dc.date2008-11-26
dc.date.accessioned2026-07-07T13:03:08Z
dc.date.available2026-07-07T13:03:08Z
dc.descriptionWe study the influence of center vortices on the low-lying eigenmodes of the Dirac operator, in both the overlap and asqtad formulations. For center-projected configurations, one finds that the low-lying near-zero modes are present in the staggered (asqtad) formulation, but not in the overlap and "chirally-improved" formulations. We argue that this is due to the absence of a field-independent chiral symmetry in the latter formulations, when the Dirac operator is evaluated on the very rough configurations generated by center projection. We also confirm and extend the results of Kovalenko et al. [Phys. Lett. B 648, 383 (2007)], finding strong correlations between center vortex locations, and the scalar density of low-lying Dirac eigenmodes on unprojected lattices, in both asqtad and overlap formulations. It is found that the low-lying eigenmodes have their largest concentrations in point-like regions, rather than on submanifolds of higher dimensionality.
dc.descriptionPresented at Lattice 2008
dc.identifierhttps://arxiv.org/abs/0811.4408
dc.identifierhttp://arxiv.org/abs/0811.4408
dc.identifierPoS LATTICE2008:258,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226691
dc.subjectHigh Energy Physics - Lattice
dc.titleCenter vortex influence on the Dirac spectrum
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