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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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16 pages, 16 figures

Scientific paper

10.1140/epja/i2004-10082-0

For the study of dynamical chiral-symmetry breaking (DCSB) in QCD, we investigate the Schwinger-Dyson (SD) formalism based on lattice QCD data. From the quenched lattice data for the quark propagator in the Landau gauge, we extract the SD kernel function K(p^2), which is the product of the quark-gluon vertex and the polarization factor in the gluon propagator, in an Ansatz-independent manner. We find that the SD kernel function K(p^2) exhibits infrared vanishing and a large enhancement at the intermediate-energy region around p \sim 0.6GeV. We investigate the relation between the SD kernel and the quark mass function, and find that the infrared and intermediate energy region (0.35GeV

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