Shear Viscosity of the normal phase of Unitary Fermi Gas from the Epsilon Expansion

An analytical technique similar to the Epsilon expansion in the theory of critical phenomena has been proposed for dilute Fermi gas with two body interaction characterized by infinite scattering length and zero effective range dubbed Unitary Fermi Gas (Nishida and Son, Phys.Rev.Lett.97:050403, 2006). I will present a leading order calculation of the normal phase shear viscosity. The ratio of viscosity to the entropy density is predicted to exceed the AdS/CFT conjectured bound by a factor of about 6.