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We represent Polyakov loops and their correlators as spectral sums ofeigenvalues and eigenmodes of the lattice Dirac operator. The deconfinementtransition of pure gauge theory is characterized as a change in the response ofmoments of eigenvalues to varying the boundary conditions of the Diracoperator. We argue that the potential between static quarks is linked tospatial correlations of Dirac eigenvectors.Comment: References and a comment added. To appear in PR

Linking Confinement to Spectral Properties of the Dirac Operator