Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop

Abstract

We investigate and compute spectral sums of the Wilson lattice Dirac operator for quenched SU(3) gauge theory. It is demonstrated that there exist sums which serve as order parameters for the confinement-deconfinement phase transition and get their main contribution from the IR end of the spectrum. They are approximately proportional to the Polyakov loop. In contrast to earlier studied spectral sums some of them are expected to have a well-defined continuum limit.

24 pages, 20 figures, latex

References in corpus (8)

• Instantons in QCD
• Linking confinement to spectral properties of the Dirac operator
• Chiral symmetry at finite T, the phase of the Polyakov loop and the spectrum of the Dirac operator
• Complete spectra of the Dirac operator and their relation to confinement
• Dirac Spectrum, Axial Anomaly and the QCD Chiral Phase Transition
• Chiral symmetry restoration and the Z3 sectors of QCD
• Phase Structure of Z(3)-Polyakov-Loop Models
• $Z_3$ Twisted Chiral Condensates in QCD at Finite Temperatures

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