Dirac eigenvalues and eigenvectors at finite temperature

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dc.creatorGöckeler, M.
dc.creatorHehl, H.
dc.creatorRakow, P. E. L.
dc.creatorSchäfer, A.
dc.creatorSöldner, W.
dc.creatorWettig, T.
dc.date2000-10-26
dc.date.accessioned2026-07-07T11:47:00Z
dc.date.available2026-07-07T11:47:00Z
dc.descriptionWe investigate the eigenvalues and eigenvectors of the staggered Dirac operator in the vicinity of the chiral phase transition of quenched SU(3) lattice gauge theory. We consider both the global features of the spectrum and the local correlations. In the chirally symmetric phase, the local correlations in the bulk of the spectrum are still described by random matrix theory, and we investigate the dependence of the bulk Thouless energy on the simulation parameters. At and above the critical point, the properties of the low-lying Dirac eigenvalues depend on the $Z_3$-phase of the Polyakov loop. In the real phase, they are no longer described by chiral random matrix theory. We also investigate the localization properties of the Dirac eigenvectors in the different $Z_3$-phases.
dc.descriptionLattice 2000 (Finite Temperature), 5 pages
dc.identifierhttps://arxiv.org/abs/hep-lat/0010049
dc.identifierhttp://arxiv.org/abs/hep-lat/0010049
dc.identifierNucl.Phys.Proc.Suppl.94:402-406,2001
dc.identifierdoi:10.1016/S0920-5632(01)00985-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202421
dc.subjectHigh Energy Physics - Lattice
dc.titleDirac eigenvalues and eigenvectors at finite temperature
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