Geometrical Expression for Short-Distance Singularities in Field Theory

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53885We 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.)6 pages (plain TeX), UCLA/94/TEP/20High Energy Physics - TheoryGeometrical Expression for Short-Distance Singularities in Field Theorytext