Effect of Soft Modes on the Shear Viscosity of Quark Matter

Abstract

We calculate shear viscosity of the quark matter at finite temperature and density. If we assume that the quark interacts with the soft mode, which is a collective mode of quark-antiquark pair, the self energy of the quark is calculated by using the quasi-particle random phase approximation. It is shown that its imaginary part is large and the mean free path of the quark is short. With the use of the Kubo formula, the shear viscosity of quark matter becomes small. The Reynolds number of the quark matter is estimated to be about $3\sim 30$. As the temperature increases, the shear viscosity increases gradually for $T>200\mathrm{MeV}$. Moreover it is shown that the shear viscosity is not sensitive to the chemical potential.

arXiv comment8 pages, 11 figures

References in corpus (2)

• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona

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