Abstract
We show how the quasiparticle picture of quarks changes near but above the critical temperature Tc of the color-superconducting phase transition in the heated quark matter. We demonstrate that a non-Fermi liquid behavior of the matter develops drastically when the diquark coupling constant is increased owing to the coupling of the quark with the pairing soft mode: We clarify that the depression and eventually the appearance of a gap structure in the spectral function as well as the anomalous quark dispersion relation of the quark can be understood in terms of the resonant scattering between the incident quark and a particle near the Fermi surface to make the pairing soft mode.
Highlights
The recent data in the RHIC experiment suggest that the matter created by the RHIC seems to be a strongly coupled system with possible quasi-bound hadrons contained[1, 2]
We demonstrate that a non-Fermi liquid behavior of the matter develops drastically when the diquark coupling constant is increased owing to the coupling of the quark with the pairing soft mode: We clarify that the depression and eventually the appearance of a gap structure in the spectral function as well as the anomalous quark dispersion relation of the quark can be understood in terms of the resonant scattering between the incident quark and a particle near the Fermi surface to make the pairing soft mode
A remark is in order here: The group velocity as defined by vg = dω−(k)/dk is seemingly larger than the speed of light near ω−(k) = 0. It corresponds to the peak position of the imaginary part of the self-energy |ImΣ−(k, ω)|, which means that the excitations around the origin have a quite large damping rate, and there does not appear a peak in the spectral function
Summary
The recent data in the RHIC experiment suggest that the matter created by the RHIC seems to be a strongly coupled system with possible quasi-bound hadrons contained[1, 2]. Some lattice calculations, though in the quenched approximation, are consistent with the possible view that heavy-quark bound systems such as J/ψ survive the deconfinement transition at finite temperature T [3] These developments have a possibility to change drastically the simple picture of the QGP phase that the system is composed of almost free quasi-particles, such nontrivial properties of the QGP phase that it may contain quasi-hadronic excitations had been suggested earlier[4, 5]. The purpose of the present Letter is to elucidate the mechanism to realize such a non-Fermi liquid behavior and argue that it is a generic feature of the heated quark matter in the vicinity of Tc of the color superconductivity For this purpose, we examine what happens in the quark properties in detail if the pairing fluctuations become stronger by increasing the diquark coupling constant GC ; we remark that the limiting case can often clarify physics. We shall clarify that the above non-Fermi liquid behaviors can be nicely understood in terms of the resonant scattering[15, 16] between the quark and a particle near the Fermi surface to make the pairing soft mode
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