Abstract

We compute and discuss the temperature-dependence of the shear viscosity, focusing on that around the critical point, using the Nambu–Jona-Lasinio model in the leading order of 1/Nc expansion and the chiral limit. Our calculation is based on a systematic resummation method of the singular diagrams, developed recently by the present authors. In the leading order of the theory, 2 → 2 scattering between quark-quark, antiquark-antiquark and quark-antiquark contributes to the shear viscosity. The ratio of the shear viscosity to the entropy, η/s, decreases as temperature increases, only with a tiny cusp at T = Tc.

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