Dirac eigenvalues and eigenvectors at finite temperature

Details Dirac eigenvalues and eigenvectors at finite temperature Dirac eigenvalues and eigenvectors at finite temperature

2000-10-26

arxiv.org/abs/hep-lat/0010049v1

Nucl.Phys.Proc.Suppl.94:402-406,2001

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2000 (Finite Temperature), 5 pages

Scientific paper

10.1016/S0920-5632(01)00985-9

We 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.

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