  Trapped and cooled gases of alkali atoms can be manipulated to exhibit a
variety of interesting phenomena. For example, dilute gases of fermionic atoms,
in 2 hyperfine states, can be cooled to temperatures where they become
superfluid. An external field can be applied to tune the scattering length a.
When |a| exceeds the interparticle spacing, nonperturbative tools are needed to
study the system theoretically. The unitary limit, |a|\to\infty, is
particularly interesting due to its universality and symmetry. Lattice field
theory and effective field theory can be used to systematically calculate
properties of this system. Results are presented for the finite temperature
phase transition and for behavior near zero temperature.
