Spin models on Platonic solids and asymptotic freedom

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Lattice2001(spin), 3 pages, 4 figures

Scientific paper

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.

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