Static quark-antiquark potential and Dirac eigenvector correlators

Abstract

We represent the Polyakov loop correlator as a spectral sum of correlators of eigenvectors of the lattice Dirac operator. This spectral representation is studied numerically using quenched SU(3) configurations below and above the deconfinement temperature. We analyze whether the individual Dirac eigenvector correlators differ in the confined and deconfined phases. The decay properties of the normalized Dirac eigenvector correlators turn out to be essentially identical in the two phases, but the amplitudes change. This change of the amplitudes shifts the relative contributions of the individual Dirac eigenvector correlators and is the driving mechanism for the transition from the confining static potential into the deconfining one.

References in corpus (5)

• Linking confinement to spectral properties of the Dirac operator
• Setting the scale for the Luescher-Weisz action
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Complete spectra of the Dirac operator and their relation to confinement
• Laplacian modes probing gauge fields

Cited by in corpus (8)

• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Fermionic boundary conditions and the finite temperature transition of QCD
• Winding expansion techniques for lattice QCD with chemical potential
• Chiral Symmetry Breaking on the Lattice
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Chiral condensate and dressed Polyakov loop in the Nambu--Jona-Lasinio model
• Dressed Polyakov loop and flavor dependent phase transitions
• Adjoint quarks and fermionic boundary conditions