  We investigate correlations of the Polyakov loop fluctuations with eigenmodes
of the lattice Dirac operator. Their analytic relations are derived on the
temporally odd-number size lattice with the normal non-twisted periodic
boundary condition for the link-variables. We find that the low-lying Dirac
modes yield negligible contributions to the Polyakov loop fluctuations. This
property is confirmed to be valid in confined and deconfined phase by numerical
simulations in SU(3) quenched QCD. These results indicate that there is no
direct, one-to-one correspondence between confinement and chiral symmetry
breaking in QCD in the context of different properties of the Polyakov loop
fluctuation ratios.
