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We investigate the contribution from each Dirac modes to the Polyakov loopbased on a gauge-invariant analytical relation connecting the Polyakov loop andthe Dirac modes on a temporally odd-number lattice, where the temporal latticesize is odd, with the normal (nontwisted) periodic boundary condition. Thedumping factor in the relation plays crucial role for the negligiblecontribution of low-lying Dirac modes to the Polyakov loop. The zero-value ofthe Polyakov loop in the confinement phase is due to the ``positive/negativesymmetry'' of the Dirac-mode contribution to the Polyakov loop. In thedeconfinement phase, there is no such symmetry.

Lattice QCD study for relation between confinement and chiral symmetry breaking on temporally odd-number lattice