Regularization Procedure for String Functionals

摘要

A regularization for the partition function of string models, i.e., theories for fields defined on two dimensional manifolds, is proposed. One and two-loop contributions are shown to be finite in a large class of theories and no counter terms are required although these theories are nonrenormalizable in the sense of the usual power counting arguments. Plausibility arguments are given that even in higher corrections a large class of graphs, if not all, might turn out to be finite.