We develop a functional integral formulation for the double exchange m
odel with an infinitely large Hund's coupling, in which the local quan
tum spins are described by the CP1 spinor field. This formulation dire
ctly connects the quantum approach with classical approximation. The s
pin wave dynamics and the magnetic phase transition are studied by usi
ng a mean field approximation. The Curie temperature T-c obtained is c
omparable to the experimental values in the manganese oxides. An insta
bility of the uniform electron states against charge fluctuations caus
ed by many-body correlation effect is also reported.