Numerical simulation of random paths with a curvature dependent action
High Energy Physics - Lattice
2009-10-28 v2
Abstract
We study an ensemble of closed random paths, embedded in R^3, with a curvature dependent action. Previous analytical results indicate that there is no crumpling transition for any finite value of the curvature coupling. Nevertheless, in a high statistics numerical simulation, we observe two different regimes for the specific heat separated by a rather smooth structure. The analysis of this fact warns us about the difficulties in the interpretation of numerical results obtained in cases where theoretical results are absent and a high statistics simulation is unreachable. This may be the case of random surfaces.
Cite
@article{arxiv.hep-lat/9607039,
title = {Numerical simulation of random paths with a curvature dependent action},
author = {M. Baig and J. Clua and A. Jaramillo},
journal= {arXiv preprint arXiv:hep-lat/9607039},
year = {2009}
}
Comments
9 pages, LaTeX, 4 eps figures. Final version to appear in Mod. Phys. Lett. A