Quantum Gravity, Random Geometry and Critical Phenomena
نویسندگان
چکیده
We discuss the theory of non-critical strings with extrinsic curvature embedded in a target spac d greater than one. We emphasize the analogy between 2d gravity coupled to matter and non liquid-like membranes with bending rigidity. We rst outline the exact solution for strings in dime via the double scaling limit of matrix models and then discuss the diiculties of an extension to d > from recent and ongoing numerical simulations of dynamically triangulated random surfaces indica is a non-trivial crossover from a crumpled to an extended surface as the bending rigidity is incre cross-over is a true second order phase transition corresponding to a critical point there is the excitin of obtaining a well deened continuum string theory for
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