Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, NY 14853, USA
Abstract:
We study planar random surfaces on a hypercubic lattice in two and three dimensions by Monte Carlo techniques. Our data are consistent with the formula n0(A;C) Ab0A, where n0(A;C) is the number of planar random surfaces with area A and boundary C. We find b0 = ?1.4 ± 0.2, = 5.31 ± 0.03 (for d = 2) and b0 = ?1.5 ± 0.2, = 7.13 ± 0.05 (for d = 3). The values of b0 disagree with those obtained from the Polyakov string model.