Testing Asymptotic Scaling and Nonabelian Symmetry Enhancement

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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10 pages, 3 figures. Some typos corrected and a discussion of recent work by Caracciolo et al included

Scientific paper

10.1016/S0370-2693(02)01479-X

We determine some points on the finite size scaling curve for the correlation length in the two dimensional O(3) and icosahedron spin models. The Monte Carlo data are consistent with the two models possessing the same continuum limit. The data also suggest that the continuum scaling curve lies above the estimate of Kim and of Caracciolo et al and thus leads to larger thermodynamic values of of the correlation length than previously reported.

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