English

The Crumpling Transition of Dynamically Triangulated Random Surfaces

High Energy Physics - Theory 2009-10-22 v1 Condensed Matter High Energy Physics - Lattice

Abstract

We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated random surfaces with edge extrinsic curvature and fixed topology of a sphere as well as simulations of a dynamically triangulated torus. We used longer runs than previous simulations and give new and more accurate estimates of critical exponents. Our data indicate a cusp singularity in the specific heat. The transition temperature, as well as the exponents are topology dependent.

Keywords

Cite

@article{arxiv.hep-th/9302025,
  title  = {The Crumpling Transition of Dynamically Triangulated Random Surfaces},
  author = {Christian Münkel and Dieter W. Heermann},
  journal= {arXiv preprint arXiv:hep-th/9302025},
  year   = {2009}
}

Comments

11pages (PostScript figures are not included. Request author directly.), LaTeX, TPHD-930205

R2 v1 2026-07-22T15:44:59.748Z