  The large-N behavior of Yang-Mills and generalized Yang-Mills theories in the
double-scaling limit is investigated. By the double-scaling limit, it is meant
that the area of the manifold on which the theory is defined, is itself a
function of N. It is shown that phase transitions of different orders occur,
depending on the functional dependence of the area on N. The finite-size
scalings of the system are also investigated. Specifically, the dependence of
the dominant representation on A, for large but finite N is determined.
