  We consider the linear space of composite fields as an infinite dimensional
vector bundle over the theory space whose coordinates are simply the parameters
of a renormalized field theory. We discuss a geometrical expression for the
short distance singularities of the composite fields in terms of beta
functions, anomalous dimensions, and a connection. (Based upon a talk given at
the International Colloquim on Modern Quantum Field Theory, 5--11 January 1994,
Bombay, India.)
