Discrete non-Abelian groups and asymptotically free models

Details Discrete non-Abelian groups and asymptotically free models Discrete non-Abelian groups and asymptotically free models

2001-10-31

arxiv.org/abs/hep-lat/0110221v1

PoS HEP2001:230,2001

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages including 6 postscript figures. Talk given at HEP01 in Budapest, Hungary, in July 2001

Scientific paper

We consider a two-dimensional $\sigma$-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) $\sigma$ model. Such an argument is confirmed by a high-precision
numerical simulation.

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