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arxiv: hep-lat/0110069 · v1 · pith:VCEHGK3Bnew · submitted 2001-10-12 · ✦ hep-lat

Spin models on Platonic solids and asymptotic freedom

classification ✦ hep-lat
keywords continuumlimitsigma-modelasymptoticconsiderdifferentdiscretedodecahedral
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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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