Abstract
In order to investigate the direct relation between confinement and chiral symmetry breaking in QCD, we investigate the Polyakov loop in terms of the Dirac eigenmodes in both confined and deconfined phases. Using the Dirac-mode expansion method in SU(3) lattice QCD, we analyze the contribution of low-lying and higher Dirac-modes to the Polyakov loop, respectively. In the confined phase below Tc, after removing low-lying Dirac-modes, the chiral condensate 〈qq〉 is largely reduced, however, the Polyakov loop remains almost zero and Z3-center symmetry is unbroken. These results indicate that the system is still in the confined phase without lowlying Dirac-modes. By higher Dirac-modes cut, the Polyakov loop also remains almost zero below Tc. We also analyze the Polyakov loop in the deconfined phase above Tc. We find that the Polyakov loop and Z3-symmetry behavior are insensitive to low-lying and higher Dirac-modes in both confined and deconfined phases.
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