  We solve the coupled Dyson-Schwinger equations for quark propagator and quark
gluon vertex in the Nambu-Gorkov basis which is widely applied to study the
color superconductivity. After considering the non-Abelian feature in the
off-diagonal part of quark gluon vertex, we acquire a quark pairing gap in
chiral limit above the chiral phase transition temperature $T_c$. The gap
persists up to $2-3\,T_c$ and vanishes at higher temperature. Such a quark
pairing characterizes the strongly coupled quark gluon plasma phase as a new
phase and distinct from the phase with quasi quarks and gluons. Its new
features can be disclosed in the heavy ion collision experiments.
