English

Discrete non-Abelian groups and asymptotically free models

High Energy Physics - Lattice 2009-01-27 v1

Abstract

We consider a two-dimensional σ\sigma-model with discrete icosahedral/dodecahedral symmetry. Using the perturbative renormalization group, we argue that this model has a different continuum limit with respect to the O(3) σ\sigma model. Such an argument is confirmed by a high-precision numerical simulation.

Keywords

Cite

@article{arxiv.hep-lat/0110221,
  title  = {Discrete non-Abelian groups and asymptotically free models},
  author = {Sergio Caracciolo and Andrea Montanari and Andrea Pelissetto},
  journal= {arXiv preprint arXiv:hep-lat/0110221},
  year   = {2009}
}

Comments

5 pages including 6 postscript figures. Talk given at HEP01 in Budapest, Hungary, in July 2001