Connection on the theory space

Abstract

By studying the geometric properties of correlation functions on the theory space, we are naturally led to a connection for the infinite dimensional vector bundle of composite fields over the theory space. We show how the short distance singularities of the theory are determined by the geometry of the theory space, i.e., the connection, beta functions, and anomalous dimensions. (This is a summary of the talk given at Strings '93 in Berkeley. The unnecessary blank lines in the original version have been removed in this revised version.)