Quark spectrum in QGP near chiral transition

Near but the critical temperature $T_C$ of the chiral transition, a collective excitation due to the fluctuation of the chiral condensate, called a soft mode, appears. We investigate how the soft mode affects the quark properties. The spectral function of a quark shows a several-peak structure at low frequency and momentum. We show that one of the peaks is the plasmino state and the spectral structure is understood in terms of resonant scatterings of a quark off the soft mode. The quasiquark and the plasmino have thermal masses near $T_C$, which results from the level repulsions between a quark and an antihole and between an antiquark and a hole. Effects of finite density are also presented.