Eigenvalues and Eigenvectors of the Staggered Dirac Operator at Finite Temperature

Details Eigenvalues and Eigenvectors of the Staggered Dirac Operator at Finite Temperature Eigenvalues and Eigenvectors of the Staggered Dirac Operator at Finite Temperature

2008-03-03

arxiv.org/abs/0803.0182v1

Phys.Rev.D77:114506,2008

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1103/PhysRevD.77.114506

We examine the eigenvalues and eigenvectors of the staggered Dirac operator on thermal ensembles created in QCD with two flavours of staggered quarks. We see that across the phase transition a gap opens in the spectrum. For finite volume lattices in the low-temperature phase the eigenvectors are extended, but generic field configurations in the high temperature phase give rise to localized eigenstates. We examine measures of the stability of such localization and find that at finite volumes localization occurs through Mott's mechanism of the formation of mobility edges. However, the band gap between the localized and extended states seem to scale to zero in the limit of large volume.

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