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For the study of dynamical chiral-symmetry breaking (DCSB) in QCD, weinvestigate the Schwinger-Dyson (SD) formalism based on lattice QCD data. Fromthe quenched lattice data for the quark propagator in the Landau gauge, weextract the SD kernel function K(p^2), which is the product of the quark-gluonvertex and the polarization factor in the gluon propagator, in anAnsatz-independent manner. We find that the SD kernel function K(p^2) exhibitsinfrared vanishing and a large enhancement at the intermediate-energy regionaround p \sim 0.6GeV. We investigate the relation between the SD kernel and thequark mass function, and find that the infrared and intermediate energy region(0.35GeV<p<1.5GeV) would be relevant for DCSB. We apply the lattice-QCD-basedSD equation to thermal QCD, and calculate the quark mass function at the finitetemperature. Spontaneously broken chiral symmetry is found to be restored atthe high temperature above 100MeV.Comment: 16 pages, 16 figure

Dynamical chiral-symmetry breaking at T = 0 and T ≠ 0 in the Schwinger-Dyson equation with lattice QCD data