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

Abstract

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<p<1.5GeV) would be relevant for DCSB. We apply the lattice-QCD-based SD equation to thermal QCD, and calculate the quark mass function at the finite temperature. Spontaneously broken chiral symmetry is found to be restored at the high temperature above 100MeV.

arXiv comment16 pages, 16 figures

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• Charmonium properties in deconfinement phase in anisotropic lattice QCD
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Quark tensor charge and electric dipole moment within the Schwinger-Dyson formalism
• Relevant energy scale of color confinement from lattice QCD
• Lattice analysis for the energy scale of QCD phenomena
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Scalar-Quark Systems and Chimera Hadrons in SU(3)_c Lattice QCD
• Non-perturbative Analysis of Various Mass Generation by Gluonic Dressing Effect with the Schwinger-Dyson Formalism in QCD
• Properties of Scalar-Quark Systems in SU(3)c Lattice QCD