Non-Supersymmetric Theories with Light Scalar Fields and Large Hierarchies

Abstract

Various nonsupersymmetric theories at large but finite $N$ are argued to permit light scalars and large hierarchies without fine-tuning. In a dual string description, the hierarchy results from competition between classical and quantum effects. In some cases the flow may end when a string mode becomes tachyonic and condenses, thereby realizing a quantum-mechanically stable Randall-Sundrum hierarchy scenario. Among possible applications, it is suggested that lattice simulation of \nfour Yang-Mills at large 't Hooft coupling may be easier than expected, and that supersymmetry may naturally be an approximate symmetry of our world. (This letter is a writeup of work presented at Aspen in summer 2002.)