Discrete non-Abelian groups and asymptotically free models

Sergio Caracciolo; Andrea Montanari; Andrea Pelissetto

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arXiv · hep-lat/0110221

Discrete non-Abelian groups and asymptotically free models

Sergio Caracciolo·Andrea Montanari·Andrea Pelissetto

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Abstract

We consider a two-dimensional $σ$-model with discrete icosahedral/dodecahedral symmetry. Using the perturbative renormalization group, we argue that this model has a different continuum limit with respect to the O(3) $σ$ model. Such an argument is confirmed by a high-precision numerical simulation.

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Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto. 2001-10-31. Discrete non-Abelian groups and asymptotically free models. https://arxiv.org/abs/hep-lat/0110221

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