  From the modern viewpoint and by the geometric method, this paper provides a
concise foundation for the quantum theory of massless spin-3/2 field in
Minkowski spacetime, which includes both the one-particle's quantum mechanics
and the many-particle's quantum field theory. The explicit result presented
here is useful for the investigation of spin-3/2 field in various circumstances
such as supergravity, twistor programme, Casimir effect, and quantum
inequality.
