Asymptotically free models and discrete non-Abelian groups

Details Asymptotically free models and discrete non-Abelian groups Asymptotically free models and discrete non-Abelian groups

2001-03-17

arxiv.org/abs/hep-lat/0103017v3

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.

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