Abstract
We investigate the crumpling transition for a dynamically triangulated random surface embedded in two dimensions We find a second order transition for an "edge" discretization of the extrinsic curvature and a third order transition for an alternative "area" discretization, which is identical to surfaces embedded in three and higher dimensions The results for the edge extrinsic curvature are at variance with those of Kogut and Renken who found a first order transition for a fixed triangulation.
| Original language | English |
|---|---|
| Pages (from-to) | 346-352 |
| Number of pages | 7 |
| Journal | Physics Letters B |
| Volume | 258 |
| Issue number | 3-4 |
| Publication status | Published - 1991 |