An Effective Model for Crumpling in Two Dimensions?

Details An Effective Model for Crumpling in Two Dimensions? An Effective Model for Crumpling in Two Dimensions?

1992-06-08

arxiv.org/abs/hep-lat/9206012v1

Phys.Rev. D46 (1992) 4761-4764

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages

Scientific paper

10.1103/PhysRevD.46.4761

We investigate the crumpling transition for a dynamically triangulated random surface embedded in two dimensions using an effective model in which the disordering effect of the $X$ variables on the correlations of the normals is replaced by a long-range ``antiferromagnetic'' term. We compare the results from a Monte Carlo simulation with those obtained for the standard action which retains the $X$'s and discuss the nature of the phase transition.

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