Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-03-17
Phys.Lett. B513 (2001) 223-231
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, revised version
Scientific paper
10.1016/S0370-2693(01)00674-8
We study the two-dimensional renormalization-group flow induced by perturbations that reduce the global symmetry of the O(3) sigma-model to the discrete symmetries of Platonic solids. We estimate the value of the correlation length at which differences in the behaviour of the various models should be expected. For the icosahedron model, we find xi > 200. We provide an explanation for the recent numerical results of Patrascioiu and Seiler and of Hasenfratz and Niedermayer.
Caracciolo Sergio
Montanari Andrea
Pelissetto Andrea
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