Abstract
We describe results for a model of planar random surfaces which suggest that the model has a well-defined continuum limit from which a relativistic quantum theory of strings without tachyons can be reconstructed. The mean-field theory of that model is developed, and Osterwalder-Schrader positivity is exhibited. Some scaling relations and mean-field bounds for critical exponents and correlations are established. It is argued that, in dimension <6, our model may serve to calculate the leading O( N −2) correction to the two-glue-ball amplitude and that in high dimensions the Regge slope is infinite.
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