Low-lying spectrum for lattice Dirac operators with twisted mass

dc.creatorGattringer, Christof
dc.creatorSolbrig, Stefan
dc.date2005-09-22
dc.date.accessioned2026-07-07T06:22:58Z
dc.date.available2026-07-07T06:22:58Z
dc.descriptionWe analyze the low-lying spectrum and eigenmodes of lattice Dirac operators with a twisted mass term. The twist term expels the eigenvalues from a strip in the complex plane and all eigenmodes obtain a non-vanishing matrix element with gamma-5. For a twisted Ginsparg-Wilson operator the spectrum is located on two arcs in the complex plane. Modes due to non-trivial topological charge of the underlying gauge field have their eigenvalues at the edges of these arcs and obey a remnant index theorem. For configurations in the confined phase we find that the twist mainly affects the zero modes, while the bulk of the spectrum is essentially unchanged.
dc.descriptionContribution to Lattice 2005, 6 pages
dc.identifierhttps://arxiv.org/abs/hep-lat/0509079
dc.identifierhttp://arxiv.org/abs/hep-lat/0509079
dc.identifierPoS LAT2005 (2005) 127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96077
dc.subjectHigh Energy Physics - Lattice
dc.titleLow-lying spectrum for lattice Dirac operators with twisted mass
dc.typetext

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