Stringy Instantons

A canonical Lorentz invariant field theory extension of collective field theory of d = 1 matrix models is presented. We show that the low density, discrete, sector of collective field theory includes single eigenvalue Euclidean instantons which tunnel between different vacua of the extended theory. These “stringy” instantons induce non-perturbative effective operators of strength e − 1 /g . The relationship of the world sheet description of string theory and Liouville theory to the effective space-time theory is explained. Non-perturbative aspects of string theory are an essential piece of information needed to confront string theory predictions and the real observable world. a single field to a canonical, Lorentz invariant effective field theory of two fields and . This theory exhibits the scale breaking responsible the unusual action, S ∼ 1 g , of the instantons. We show that the vacuum solutions effective field theory includes wormhole-like configurations. These configurations look like two identical Liouville vacua linked by a single eigenvalue instanton. normalized action of these configurations is S = πg . We then show that these configurations ζ , D effective with strength π g We also review and explain the relationship of these double scaled and argue that these string theories new . An extended and detailed discussion issues letter more found