Comparing lattice Dirac operators in smooth instanton backgrounds

dc.creatorGattringer, Christof
dc.creatorGöckeler, Meinulf
dc.creatorLang, C. B.
dc.creatorRakow, P. E. L.
dc.creatorSchäfer, Andreas
dc.date2001-08-01
dc.date2001-11-07
dc.date.accessioned2026-07-07T11:47:02Z
dc.date.available2026-07-07T11:47:02Z
dc.descriptionWe compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular we analyze the standard Wilson operator, a chirally improved Dirac operator and the overlap operators constructed from these two operators. We discuss the flow of real eigenvalues as a function of the instanton size. An analysis of the eigenvectors shows that overlap fermions with the Wilson operator as input operator have difficulties with reproducing the continuum zero mode already for moderately small instantons. This problem is greatly reduced when using the chirally improved operator for the overlap projection.
dc.description11 pages, Latex. Discussion of a second version of the overlap operator added. To appear in Physics Letters B
dc.identifierhttps://arxiv.org/abs/hep-lat/0108001
dc.identifierhttp://arxiv.org/abs/hep-lat/0108001
dc.identifierPhys.Lett.B522:194-200,2001
dc.identifierdoi:10.1016/S0370-2693(01)01289-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202433
dc.subjectHigh Energy Physics - Lattice
dc.titleComparing lattice Dirac operators in smooth instanton backgrounds
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