Quasiparticle Picture of Quarks near Chiral Phase Transition

Abstract

We study how the quasiparticle picture of the quark can be modified near but above the critical tempearture (Tc) of the chiral phase transition; we incorporate into the quark self-energy the effects of the precursory soft modes of the phase transition, i.e., `para-\sigma(\pi) meson'. It is found that the quark spectrum has a three-peak structure near Tc: We show that the additional new spectra originate from the mixing between a quark (anti-quark) and an anti-quark hole (quark hole) caused by a ``resonant scattering'' of the quasi-fermions with the thermally-excited soft modes.

Comments: 4 pages, 5 eps figures, to appear in the proceedings of 18th International Conference on Ultrarelativistic Nucleus-Nucleus Collisions: Quark Matter 2005 (QM 2005), Budapest, Hungary, 4-9 Aug 2005