The topological characteristics of lattice Dirac operators

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dc.creatorChiu, Ting-Wai
dc.date1999-11-08
dc.date2000-04-01
dc.date.accessioned2026-07-07T03:40:23Z
dc.date.available2026-07-07T03:40:23Z
dc.descriptionWe show that even if a lattice Dirac operator satisfies the conditions consisting of locality, free of species doublings, correct continuum behavior, $\gm5$-hermiticity and the Ginsparg-Wilson relation, it does not necessarily have exact zero modes in nontrivial gauge backgrounds. This implies that each lattice Dirac operator has its own topological characteristics which cannot be fixed by these conditions. The role of topological characteristics in the axial anomaly is derived explicitly.
dc.description34 pages, LaTeX, 4 eps figures, improved presentation
dc.identifierhttps://arxiv.org/abs/hep-lat/9911010
dc.identifierhttp://arxiv.org/abs/hep-lat/9911010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39252
dc.subjectHigh Energy Physics - Lattice
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleThe topological characteristics of lattice Dirac operators
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