Complete spectra of the Dirac operator and their relation to confinement

Details Complete spectra of the Dirac operator and their relation to confinement Complete spectra of the Dirac operator and their relation to confinement

2006-12-19

arxiv.org/abs/hep-lat/0612020v2

Phys.Lett.B647:56-61,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Typo fixed, to appear in Physics Letters B

Scientific paper

10.1016/j.physletb.2007.01.043

We compute complete spectra of the staggered lattice Dirac operator for quenched SU(3) gauge configurations below and above the critical temperature. The confined and the deconfined phase are characterized by a different response of the Dirac eigenvalues to a change of the fermionic boundary conditions. We analyze the role of the eigenvalues in recently developed spectral sums representing the Polyakov loop. We show that the Polyakov loop gets its main contributions from the UV end of the spectrum.

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