Spin models on Platonic solids and asymptotic freedom

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.

Comments: Lattice2001(spin), 3 pages, 4 figures