Classical behavior of large N fermionic systems

The large N limit of several fermionic systems in two dimensions is shown to be obtainable by doing classical mechanics. This generalizes results previously derived for bosonic models. For these types of theories, the reduction to a classical system of equations is closely related to the path integral quantization scheme of Dashen. Hasslacher and Neveu. Using this relationship, we are able to gain further insight into the workings of both approaches.