The Phase Structure of Strings with Extrinsic Curvature

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We examine a model of non-self-avoiding, fluctuating surfaces as a candidate continuum string theory of surfaces in three dimensions. This model describes Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze, using Monte Carlo simulations, the dramatic crossover behaviour of several observables which characterize the geometry of these surfaces. We then critically discuss whether our observations are indicative of a phase transition.
Latex file of 19 pages (plus 10 figures not included); Lecture given by Mark Bowick at the Erice Workshop on "String Quantum Gravity and Physics at the Planck Energy Scale", June 92 and at the First Iberian Meeting on Gravity, Evora, Portugal, September 92

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