Polyakov loops and spectral properties of the staggered Dirac operator

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dc.creatorBruckmann, Falk
dc.creatorKeppeler, Stefan
dc.creatorPanero, Marco
dc.creatorWettig, Tilo
dc.date2008-04-24
dc.date2008-08-15
dc.date.accessioned2026-07-07T11:50:11Z
dc.date.available2026-07-07T11:50:11Z
dc.descriptionWe study the spectrum of the staggered Dirac operator in SU(2) gauge fields close to the free limit, for both the fundamental and the adjoint representation. Numerically we find a characteristic cluster structure with spacings of adjacent levels separating into three scales. We derive an analytical formula which explains the emergence of these different spectral scales. The behavior on the two coarser scales is determined by the lattice geometry and the Polyakov loops, respectively. Furthermore, we analyze the spectral statistics on all three scales, comparing to predictions from random matrix theory.
dc.description11 pages, 25 figures; v2: minor changes, as published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0804.3929
dc.identifierhttp://arxiv.org/abs/0804.3929
dc.identifierPhys.Rev.D78:034503,2008
dc.identifierdoi:10.1103/PhysRevD.78.034503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203483
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subjectChaotic Dynamics
dc.titlePolyakov loops and spectral properties of the staggered Dirac operator
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