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

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

2007-03-19

arxiv.org/abs/hep-lat/0703018v1

Phys.Rev.D75:114003,2007

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 20 figures, latex

Scientific paper

10.1103/PhysRevD.75.114003

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.

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