Asymptotically free models and discrete non-Abelian groups
High Energy Physics - Lattice
2009-11-07 v3
Abstract
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.
Cite
@article{arxiv.hep-lat/0103017,
title = {Asymptotically free models and discrete non-Abelian groups},
author = {Sergio Caracciolo and Andrea Montanari and Andrea Pelissetto},
journal= {arXiv preprint arXiv:hep-lat/0103017},
year = {2009}
}
Comments
12 pages, revised version