We consider a two-dimensional σ-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) σ-model.
Spin models on Platonic solids and asymptotic freedom / S. Caracciolo, A. Montanari, A. Pelissetto. - In: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS. - ISSN 0920-5632. - 106-107:(2002), pp. 902-904. [10.1016/S0920-5632(01)01880-1]
Spin models on Platonic solids and asymptotic freedom
S. Caracciolo;
2002
Abstract
We consider a two-dimensional σ-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) σ-model.
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