  There has been a surge of experimental effort recently in cooling trapped
fermionic atoms to quantum degeneracy. By varying an external magnetic field,
interactions between atoms can be made arbitrarily strong. When the S wave
scattering length becomes comparable to and larger than the interparticle
spacing, standard mean field analysis breaks down. In this case the system
exhibits a type of universality, and J-W. Chen and D. B. Kaplan recently showed
how this system can be studied from first principles using lattice field
theory. This poster presents the first results of exploratory simulations. The
existence of a continuum limit is checked and the pairing condensate is studied
as a function of the external source strength over a range of temperatures.
Preliminary results show simulations can locate the critical temperature.
