  A system of fermions with short-range interactions at finite density is
studied using the framework of effective field theory. The effective action
formalism for fermions with auxiliary fields leads to a loop expansion in which
particle-hole bubbles are resummed to all orders. For spin-independent
interactions, the loop expansion is equivalent to a systematic expansion in
1/N, where "N" is the spin-isospin degeneracy g. Numerical results at
next-to-leading order are presented and the connection to the Bose limit of
this system is elucidated.
