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Real-Time Thermal Schwinger-Dyson Equation for Quark Self-energy in Landau Gauge
Authors:ZHOU Bang-Rong
Abstract:By means of a formal expression of Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperatures and finite quark chemical potentials, we derive the real-time thermal Schwinger-Dyson equation for quark propagator in Landau gauge. Denote the inverse quark propagator by A(p2)p - B(p2), we argue that, when temperature T is lower than the given infrared momentum cutoff pc, A(p2) = 1 is a feasible approximation and can be assumed in discussions of chiral symmetry phase transition problem in QCD.
Keywords:real-time thermal QCD   Schwinger-Dyson equation   quark propagator   Landau gauge
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