Numerical simulation of random paths with a curvature dependent action

Details Numerical simulation of random paths with a curvature dependent action Numerical simulation of random paths with a curvature dependent action

1996-07-19

arxiv.org/abs/hep-lat/9607039v2

Mod.Phys.Lett. A13 (1998) 2131-2138

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, LaTeX, 4 eps figures. Final version to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732398002254

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.

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