On the Transition from Crystalline to Dynamically Triangulated Surfaces
ArXiv hep-lat/9308005 (1993)
Abstract:
We consider methods of interpolating between the crystalline and dynamically triangulated random surface models. We argue that actions based on the deviation from six of the coordination number at a site are inadequate and propose an alternative based on Alexander moves. Two simplified models, one of which has a phase transition and the other of which does not, are discussed.On the Crumpling Transition in Crystalline Random Surfaces
ArXiv hep-lat/9301007 (1993)
Abstract:
We investigate the crumpling transition on crystalline random surfaces with extrinsic curvature on lattices up to $64^2$. Our data are consistent with a second order phase transition and we find correlation length critical exponent $\nu=0.89\pm 0.07$. The specific heat exponent, $\alpha=0.2\pm 0.15$, is in much better agreement with hyperscaling than hitherto. The long distance behaviour of tangent-tangent correlation functions confirms that the so-called Hausdorff dimension is $d_H=\infty$ throughout the crumpled phase.AN IMPROVED METROPOLIS ALGORITHM FOR THE SIMULATION OF RANDOM SURFACES
MODERN PHYSICS LETTERS A 8:13 (1993) 1221-1231
3-DIMENSIONAL DECONFINEMENT TRANSITIONS AND CONFORMAL SYMMETRY
PHYSICS LETTERS B 276:4 (1992) 472-478
THERMODYNAMICS OF SU(3) LATTICE GAUGE-THEORY IN (2 + 1) DIMENSIONS
NUCLEAR PHYSICS B 374:1 (1992) 225-248