Properties of Unitary Fermi Gas from the Epsilon Expansion

An analytical technique similar to the Epsilon expansion in the theory of critical phenomena has been recently proposed for a dilute Fermi gas with two body interaction characterized by infinite scattering length and zero effective range (unitary Fermi gas)(Nishida and Son, Phys.Rev.Lett.97:050403, 2006). After an introduction to the Epsilon expansion, I will describe some recent results: 1. effective Lagrangian for the Unitary Fermi Gas and its applications (structure of a superfluid vortex, surface tension of the normal/ superfluid phase interface in the polarized (imbalanced) gas, etc); 2. low energy density correlation function and the dynamic structure factor.