Intrinsic geometry of c = 1 random surfaces

Employing baby universe surgery we study numerically the fractal structure of the intrinsic geometry of random surfaces coupled to matter field with c = 1. We simulate surfaces of the size up to 260.000 triangles. We observe the first indication that the branching and Haussdorff dimensions saturate. We estimate the branching dimension d B ≈ 2.6 and get a lower bound for the Hausdorff dimension d H > 3.0.

talk: Bielefeld 1994/09/27
random surface
central charge: 1
fractal
lattice field theory
matter
numerical calculations: Monte Carlo

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