Spin models on Platonic solids and asymptotic freedom
arXiv:hep-lat/0110069 · doi:10.1016/S0920-5632(01)01880-1
Abstract
We consider a two-dimensional sigma-model with discrete icosahedral/dodecahedral symmetry. We present high-precision finite-size numerical results that show that the continuum limit of this model is different from the continuum limit of the rotationally invariant O(3) sigma-model.
Lattice2001(spin), 3 pages, 4 figures